+0

# HArd problem

0
215
1
+194

[removed]

Jun 24, 2018
edited by Max0815  Jun 29, 2018

#1
+20842
+1

In how many ways can we seat 3 pairs of siblings in a row of 7 chairs,

so that nobody sits next to his or her sibling? (One chair will be left empty, of course.)

1.

Suppose we have six persons

a1,a2,b1,b2,c1,c2

and i assume that a1a2... and a2a1... are distinct combinations!

then:

Let one pair Number 1 and Number 2

Let one pair Number 3 and Number 4

Let one pair Number 5 and Number 6

Let one empty chair Number 0

1. 0132546 ( Permutation = 27 )

2. 0132645 ( Permutation = 30 )

3. 0135426 ( Permutation = 37 )

4. 0135462 ( Permutation = 38 )

5. 0135246 ( Permutation = 39 )

6. 0135264 ( Permutation = 40 )

7. 0136452 ( Permutation = 43 )

8. 0136425 ( Permutation = 44 )

9. 0136254 ( Permutation = 47 )

10. 0136245 ( Permutation = 48 )

11. 0142536 ( Permutation = 57 )

12. 0142635 ( Permutation = 60 )

13. 0145236 ( Permutation = 61 )

14. 0145263 ( Permutation = 62 )

15. 0145326 ( Permutation = 63 )

16. 0145362 ( Permutation = 64 )

17. 0146253 ( Permutation = 67 )

18. 0146235 ( Permutation = 68 )

19. 0146352 ( Permutation = 71 )

20. 0146325 ( Permutation = 72 )

21. 0153246 ( Permutation = 75 )

22. 0153264 ( Permutation = 76 )

23. 0153624 ( Permutation = 77 )

24. 0153642 ( Permutation = 78 )

25. 0154236 ( Permutation = 81 )

26. 0154263 ( Permutation = 82 )

27. 0154623 ( Permutation = 83 )

28. 0154632 ( Permutation = 84 )

29. 0152463 ( Permutation = 86 )

30. 0152364 ( Permutation = 88 )

31. 0163542 ( Permutation = 99 )

32. 0163524 ( Permutation = 100 )

33. 0163254 ( Permutation = 101 )

34. 0163245 ( Permutation = 102 )

35. 0164532 ( Permutation = 105 )

36. 0164523 ( Permutation = 106 )

37. 0164253 ( Permutation = 107 )

38. 0164235 ( Permutation = 108 )

39. 0162453 ( Permutation = 115 )

40. 0162354 ( Permutation = 119 )

41. 0231546 ( Permutation = 147 )

42. 0231645 ( Permutation = 150 )

43. 0235416 ( Permutation = 157 )

44. 0235461 ( Permutation = 158 )

45. 0235146 ( Permutation = 159 )

46. 0235164 ( Permutation = 160 )

47. 0236451 ( Permutation = 163 )

48. 0236415 ( Permutation = 164 )

49. 0236154 ( Permutation = 167 )

50. 0236145 ( Permutation = 168 )

51. 0241536 ( Permutation = 177 )

52. 0241635 ( Permutation = 180 )

53. 0245136 ( Permutation = 181 )

54. 0245163 ( Permutation = 182 )

55. 0245316 ( Permutation = 183 )

56. 0245361 ( Permutation = 184 )

57. 0246153 ( Permutation = 187 )

58. 0246135 ( Permutation = 188 )

59. 0246351 ( Permutation = 191 )

60. 0246315 ( Permutation = 192 )

61. 0253146 ( Permutation = 195 )

62. 0253164 ( Permutation = 196 )

63. 0253614 ( Permutation = 197 )

64. 0253641 ( Permutation = 198 )

65. 0254136 ( Permutation = 201 )

66. 0254163 ( Permutation = 202 )

67. 0254613 ( Permutation = 203 )

68. 0254631 ( Permutation = 204 )

69. 0251463 ( Permutation = 206 )

70. 0251364 ( Permutation = 208 )

71. 0263541 ( Permutation = 219 )

72. 0263514 ( Permutation = 220 )

73. 0263154 ( Permutation = 221 )

74. 0263145 ( Permutation = 222 )

75. 0264531 ( Permutation = 225 )

76. 0264513 ( Permutation = 226 )

77. 0264153 ( Permutation = 227 )

78. 0264135 ( Permutation = 228 )

79. 0261453 ( Permutation = 235 )

80. 0261354 ( Permutation = 239 )

81. 0324516 ( Permutation = 249 )

82. 0324615 ( Permutation = 252 )

83. 0325416 ( Permutation = 253 )

84. 0325461 ( Permutation = 254 )

85. 0325146 ( Permutation = 255 )

86. 0325164 ( Permutation = 256 )

87. 0326451 ( Permutation = 259 )

88. 0326415 ( Permutation = 260 )

89. 0326154 ( Permutation = 263 )

90. 0326145 ( Permutation = 264 )

91. 0314526 ( Permutation = 273 )

92. 0314625 ( Permutation = 276 )

93. 0315426 ( Permutation = 277 )

94. 0315462 ( Permutation = 278 )

95. 0315246 ( Permutation = 279 )

96. 0315264 ( Permutation = 280 )

97. 0316452 ( Permutation = 283 )

98. 0316425 ( Permutation = 284 )

99. 0316254 ( Permutation = 287 )

100. 0316245 ( Permutation = 288 )

101. 0351426 ( Permutation = 313 )

102. 0351462 ( Permutation = 314 )

103. 0351624 ( Permutation = 317 )

104. 0351642 ( Permutation = 318 )

105. 0354162 ( Permutation = 320 )

106. 0354261 ( Permutation = 322 )

107. 0352416 ( Permutation = 325 )

108. 0352461 ( Permutation = 326 )

109. 0352614 ( Permutation = 329 )

110. 0352641 ( Permutation = 330 )

111. 0361452 ( Permutation = 337 )

112. 0361425 ( Permutation = 338 )

113. 0361542 ( Permutation = 339 )

114. 0361524 ( Permutation = 340 )

115. 0364152 ( Permutation = 343 )

116. 0364251 ( Permutation = 347 )

117. 0362451 ( Permutation = 355 )

118. 0362415 ( Permutation = 356 )

119. 0362541 ( Permutation = 357 )

120. 0362514 ( Permutation = 358 )

121. 0423516 ( Permutation = 363 )

122. 0423615 ( Permutation = 366 )

123. 0425136 ( Permutation = 373 )

124. 0425163 ( Permutation = 374 )

125. 0425316 ( Permutation = 375 )

126. 0425361 ( Permutation = 376 )

127. 0426153 ( Permutation = 379 )

128. 0426135 ( Permutation = 380 )

129. 0426351 ( Permutation = 383 )

130. 0426315 ( Permutation = 384 )

131. 0413526 ( Permutation = 411 )

132. 0413625 ( Permutation = 414 )

133. 0415236 ( Permutation = 421 )

134. 0415263 ( Permutation = 422 )

135. 0415326 ( Permutation = 423 )

136. 0415362 ( Permutation = 424 )

137. 0416253 ( Permutation = 427 )

138. 0416235 ( Permutation = 428 )

139. 0416352 ( Permutation = 431 )

140. 0416325 ( Permutation = 432 )

141. 0453162 ( Permutation = 434 )

142. 0453261 ( Permutation = 436 )

143. 0451326 ( Permutation = 439 )

144. 0451362 ( Permutation = 440 )

145. 0451623 ( Permutation = 443 )

146. 0451632 ( Permutation = 444 )

147. 0452316 ( Permutation = 447 )

148. 0452361 ( Permutation = 448 )

149. 0452631 ( Permutation = 449 )

150. 0452613 ( Permutation = 450 )

151. 0463152 ( Permutation = 457 )

152. 0463251 ( Permutation = 461 )

153. 0461352 ( Permutation = 463 )

154. 0461325 ( Permutation = 464 )

155. 0461532 ( Permutation = 465 )

156. 0461523 ( Permutation = 466 )

157. 0462513 ( Permutation = 477 )

158. 0462531 ( Permutation = 478 )

159. 0462351 ( Permutation = 479 )

160. 0462315 ( Permutation = 480 )

161. 0523146 ( Permutation = 483 )

162. 0523164 ( Permutation = 484 )

163. 0523614 ( Permutation = 485 )

164. 0523641 ( Permutation = 486 )

165. 0524136 ( Permutation = 489 )

166. 0524163 ( Permutation = 490 )

167. 0524613 ( Permutation = 491 )

168. 0524631 ( Permutation = 492 )

169. 0526413 ( Permutation = 499 )

170. 0526314 ( Permutation = 503 )

171. 0532416 ( Permutation = 505 )

172. 0532461 ( Permutation = 506 )

173. 0532614 ( Permutation = 509 )

174. 0532641 ( Permutation = 510 )

175. 0531426 ( Permutation = 517 )

176. 0531462 ( Permutation = 518 )

177. 0531624 ( Permutation = 521 )

178. 0531642 ( Permutation = 522 )

179. 0536142 ( Permutation = 525 )

180. 0536241 ( Permutation = 528 )

181. 0542316 ( Permutation = 535 )

182. 0542361 ( Permutation = 536 )

183. 0542613 ( Permutation = 539 )

184. 0542631 ( Permutation = 540 )

185. 0541326 ( Permutation = 543 )

186. 0541362 ( Permutation = 544 )

187. 0541632 ( Permutation = 545 )

188. 0541623 ( Permutation = 546 )

189. 0546231 ( Permutation = 548 )

190. 0546132 ( Permutation = 550 )

191. 0513246 ( Permutation = 555 )

192. 0513264 ( Permutation = 556 )

193. 0513624 ( Permutation = 557 )

194. 0513642 ( Permutation = 558 )

195. 0514236 ( Permutation = 561 )

196. 0514263 ( Permutation = 562 )

197. 0514623 ( Permutation = 563 )

198. 0514632 ( Permutation = 564 )

199. 0516423 ( Permutation = 571 )

200. 0516324 ( Permutation = 575 )

201. 0623541 ( Permutation = 603 )

202. 0623514 ( Permutation = 604 )

203. 0623154 ( Permutation = 605 )

204. 0623145 ( Permutation = 606 )

205. 0624531 ( Permutation = 609 )

206. 0624513 ( Permutation = 610 )

207. 0624153 ( Permutation = 611 )

208. 0624135 ( Permutation = 612 )

209. 0625413 ( Permutation = 614 )

210. 0625314 ( Permutation = 616 )

211. 0632451 ( Permutation = 625 )

212. 0632415 ( Permutation = 626 )

213. 0632541 ( Permutation = 627 )

214. 0632514 ( Permutation = 628 )

215. 0635241 ( Permutation = 639 )

216. 0635142 ( Permutation = 642 )

217. 0631452 ( Permutation = 643 )

218. 0631425 ( Permutation = 644 )

219. 0631542 ( Permutation = 645 )

220. 0631524 ( Permutation = 646 )

221. 0642351 ( Permutation = 655 )

222. 0642315 ( Permutation = 656 )

223. 0642531 ( Permutation = 657 )

224. 0642513 ( Permutation = 658 )

225. 0645231 ( Permutation = 661 )

226. 0645132 ( Permutation = 665 )

227. 0641523 ( Permutation = 669 )

228. 0641532 ( Permutation = 670 )

229. 0641352 ( Permutation = 671 )

230. 0641325 ( Permutation = 672 )

231. 0613542 ( Permutation = 699 )

232. 0613524 ( Permutation = 700 )

233. 0613254 ( Permutation = 701 )

234. 0613245 ( Permutation = 702 )

235. 0614532 ( Permutation = 705 )

236. 0614523 ( Permutation = 706 )

237. 0614253 ( Permutation = 707 )

238. 0614235 ( Permutation = 708 )

239. 0615423 ( Permutation = 710 )

240. 0615324 ( Permutation = 712 )

241. 1023546 ( Permutation = 723 )

242. 1023645 ( Permutation = 726 )

243. 1024536 ( Permutation = 729 )

244. 1024635 ( Permutation = 732 )

245. 1025463 ( Permutation = 734 )

246. 1025364 ( Permutation = 736 )

247. 1026453 ( Permutation = 739 )

248. 1026354 ( Permutation = 743 )

249. 1032546 ( Permutation = 747 )

250. 1032645 ( Permutation = 750 )

251. 1035426 ( Permutation = 757 )

252. 1035462 ( Permutation = 758 )

253. 1035246 ( Permutation = 759 )

254. 1035264 ( Permutation = 760 )

255. 1036452 ( Permutation = 763 )

256. 1036425 ( Permutation = 764 )

257. 1036254 ( Permutation = 767 )

258. 1036245 ( Permutation = 768 )

259. 1042536 ( Permutation = 777 )

260. 1042635 ( Permutation = 780 )

261. 1045236 ( Permutation = 781 )

262. 1045263 ( Permutation = 782 )

263. 1045326 ( Permutation = 783 )

264. 1045362 ( Permutation = 784 )

265. 1046253 ( Permutation = 787 )

266. 1046235 ( Permutation = 788 )

267. 1046352 ( Permutation = 791 )

268. 1046325 ( Permutation = 792 )

269. 1053246 ( Permutation = 795 )

270. 1053264 ( Permutation = 796 )

271. 1053624 ( Permutation = 797 )

272. 1053642 ( Permutation = 798 )

273. 1054236 ( Permutation = 801 )

274. 1054263 ( Permutation = 802 )

275. 1054623 ( Permutation = 803 )

276. 1054632 ( Permutation = 804 )

277. 1052463 ( Permutation = 806 )

278. 1052364 ( Permutation = 808 )

279. 1063542 ( Permutation = 819 )

280. 1063524 ( Permutation = 820 )

281. 1063254 ( Permutation = 821 )

282. 1063245 ( Permutation = 822 )

283. 1064532 ( Permutation = 825 )

284. 1064523 ( Permutation = 826 )

285. 1064253 ( Permutation = 827 )

286. 1064235 ( Permutation = 828 )

287. 1062453 ( Permutation = 835 )

288. 1062354 ( Permutation = 839 )

289. 1320546 ( Permutation = 963 )

290. 1320645 ( Permutation = 966 )

291. 1324506 ( Permutation = 969 )

292. 1324605 ( Permutation = 972 )

293. 1325406 ( Permutation = 973 )

294. 1325460 ( Permutation = 974 )

295. 1325046 ( Permutation = 975 )

296. 1325064 ( Permutation = 976 )

297. 1326450 ( Permutation = 979 )

298. 1326405 ( Permutation = 980 )

299. 1326054 ( Permutation = 983 )

300. 1326045 ( Permutation = 984 )

301. 1302546 ( Permutation = 987 )

302. 1302645 ( Permutation = 990 )

303. 1304526 ( Permutation = 993 )

304. 1304625 ( Permutation = 996 )

305. 1305426 ( Permutation = 997 )

306. 1305462 ( Permutation = 998 )

307. 1305246 ( Permutation = 999 )

308. 1305264 ( Permutation = 1000 )

309. 1306452 ( Permutation = 1003 )

310. 1306425 ( Permutation = 1004 )

311. 1306254 ( Permutation = 1007 )

312. 1306245 ( Permutation = 1008 )

313. 1350426 ( Permutation = 1033 )

314. 1350462 ( Permutation = 1034 )

315. 1350246 ( Permutation = 1035 )

316. 1350264 ( Permutation = 1036 )

317. 1350624 ( Permutation = 1037 )

318. 1350642 ( Permutation = 1038 )

319. 1354026 ( Permutation = 1039 )

320. 1354062 ( Permutation = 1040 )

321. 1354206 ( Permutation = 1041 )

322. 1354260 ( Permutation = 1042 )

323. 1354620 ( Permutation = 1043 )

324. 1354602 ( Permutation = 1044 )

325. 1352406 ( Permutation = 1045 )

326. 1352460 ( Permutation = 1046 )

327. 1352046 ( Permutation = 1047 )

328. 1352064 ( Permutation = 1048 )

329. 1352604 ( Permutation = 1049 )

330. 1352640 ( Permutation = 1050 )

331. 1360452 ( Permutation = 1057 )

332. 1360425 ( Permutation = 1058 )

333. 1360542 ( Permutation = 1059 )

334. 1360524 ( Permutation = 1060 )

335. 1360254 ( Permutation = 1061 )

336. 1360245 ( Permutation = 1062 )

337. 1364052 ( Permutation = 1063 )

338. 1364025 ( Permutation = 1064 )

339. 1364502 ( Permutation = 1065 )

340. 1364520 ( Permutation = 1066 )

341. 1364250 ( Permutation = 1067 )

342. 1364205 ( Permutation = 1068 )

343. 1362450 ( Permutation = 1075 )

344. 1362405 ( Permutation = 1076 )

345. 1362540 ( Permutation = 1077 )

346. 1362504 ( Permutation = 1078 )

347. 1362054 ( Permutation = 1079 )

348. 1362045 ( Permutation = 1080 )

349. 1423506 ( Permutation = 1083 )

350. 1423605 ( Permutation = 1086 )

351. 1420536 ( Permutation = 1089 )

352. 1420635 ( Permutation = 1092 )

353. 1425036 ( Permutation = 1093 )

354. 1425063 ( Permutation = 1094 )

355. 1425306 ( Permutation = 1095 )

356. 1425360 ( Permutation = 1096 )

357. 1426053 ( Permutation = 1099 )

358. 1426035 ( Permutation = 1100 )

359. 1426350 ( Permutation = 1103 )

360. 1426305 ( Permutation = 1104 )

361. 1403526 ( Permutation = 1131 )

362. 1403625 ( Permutation = 1134 )

363. 1402536 ( Permutation = 1137 )

364. 1402635 ( Permutation = 1140 )

365. 1405236 ( Permutation = 1141 )

366. 1405263 ( Permutation = 1142 )

367. 1405326 ( Permutation = 1143 )

368. 1405362 ( Permutation = 1144 )

369. 1406253 ( Permutation = 1147 )

370. 1406235 ( Permutation = 1148 )

371. 1406352 ( Permutation = 1151 )

372. 1406325 ( Permutation = 1152 )

373. 1453026 ( Permutation = 1153 )

374. 1453062 ( Permutation = 1154 )

375. 1453206 ( Permutation = 1155 )

376. 1453260 ( Permutation = 1156 )

377. 1453620 ( Permutation = 1157 )

378. 1453602 ( Permutation = 1158 )

379. 1450326 ( Permutation = 1159 )

380. 1450362 ( Permutation = 1160 )

381. 1450236 ( Permutation = 1161 )

382. 1450263 ( Permutation = 1162 )

383. 1450623 ( Permutation = 1163 )

384. 1450632 ( Permutation = 1164 )

385. 1452036 ( Permutation = 1165 )

386. 1452063 ( Permutation = 1166 )

387. 1452306 ( Permutation = 1167 )

388. 1452360 ( Permutation = 1168 )

389. 1452630 ( Permutation = 1169 )

390. 1452603 ( Permutation = 1170 )

391. 1463052 ( Permutation = 1177 )

392. 1463025 ( Permutation = 1178 )

393. 1463502 ( Permutation = 1179 )

394. 1463520 ( Permutation = 1180 )

395. 1463250 ( Permutation = 1181 )

396. 1463205 ( Permutation = 1182 )

397. 1460352 ( Permutation = 1183 )

398. 1460325 ( Permutation = 1184 )

399. 1460532 ( Permutation = 1185 )

400. 1460523 ( Permutation = 1186 )

401. 1460253 ( Permutation = 1187 )

402. 1460235 ( Permutation = 1188 )

403. 1462053 ( Permutation = 1195 )

404. 1462035 ( Permutation = 1196 )

405. 1462503 ( Permutation = 1197 )

406. 1462530 ( Permutation = 1198 )

407. 1462350 ( Permutation = 1199 )

408. 1462305 ( Permutation = 1200 )

409. 1523046 ( Permutation = 1203 )

410. 1523064 ( Permutation = 1204 )

411. 1523604 ( Permutation = 1205 )

412. 1523640 ( Permutation = 1206 )

413. 1524036 ( Permutation = 1209 )

414. 1524063 ( Permutation = 1210 )

415. 1524603 ( Permutation = 1211 )

416. 1524630 ( Permutation = 1212 )

417. 1520463 ( Permutation = 1214 )

418. 1520364 ( Permutation = 1216 )

419. 1526403 ( Permutation = 1219 )

420. 1526304 ( Permutation = 1223 )

421. 1532406 ( Permutation = 1225 )

422. 1532460 ( Permutation = 1226 )

423. 1532046 ( Permutation = 1227 )

424. 1532064 ( Permutation = 1228 )

425. 1532604 ( Permutation = 1229 )

426. 1532640 ( Permutation = 1230 )

427. 1530426 ( Permutation = 1237 )

428. 1530462 ( Permutation = 1238 )

429. 1530246 ( Permutation = 1239 )

430. 1530264 ( Permutation = 1240 )

431. 1530624 ( Permutation = 1241 )

432. 1530642 ( Permutation = 1242 )

433. 1536402 ( Permutation = 1243 )

434. 1536420 ( Permutation = 1244 )

435. 1536042 ( Permutation = 1245 )

436. 1536024 ( Permutation = 1246 )

437. 1536204 ( Permutation = 1247 )

438. 1536240 ( Permutation = 1248 )

439. 1542306 ( Permutation = 1255 )

440. 1542360 ( Permutation = 1256 )

441. 1542036 ( Permutation = 1257 )

442. 1542063 ( Permutation = 1258 )

443. 1542603 ( Permutation = 1259 )

444. 1542630 ( Permutation = 1260 )

445. 1540236 ( Permutation = 1261 )

446. 1540263 ( Permutation = 1262 )

447. 1540326 ( Permutation = 1263 )

448. 1540362 ( Permutation = 1264 )

449. 1540632 ( Permutation = 1265 )

450. 1540623 ( Permutation = 1266 )

451. 1546203 ( Permutation = 1267 )

452. 1546230 ( Permutation = 1268 )

453. 1546023 ( Permutation = 1269 )

454. 1546032 ( Permutation = 1270 )

455. 1546302 ( Permutation = 1271 )

456. 1546320 ( Permutation = 1272 )

457. 1503246 ( Permutation = 1275 )

458. 1503264 ( Permutation = 1276 )

459. 1503624 ( Permutation = 1277 )

460. 1503642 ( Permutation = 1278 )

461. 1504236 ( Permutation = 1281 )

462. 1504263 ( Permutation = 1282 )

463. 1504623 ( Permutation = 1283 )

464. 1504632 ( Permutation = 1284 )

465. 1502463 ( Permutation = 1286 )

466. 1502364 ( Permutation = 1288 )

467. 1506423 ( Permutation = 1291 )

468. 1506324 ( Permutation = 1295 )

469. 1623540 ( Permutation = 1323 )

470. 1623504 ( Permutation = 1324 )

471. 1623054 ( Permutation = 1325 )

472. 1623045 ( Permutation = 1326 )

473. 1624530 ( Permutation = 1329 )

474. 1624503 ( Permutation = 1330 )

475. 1624053 ( Permutation = 1331 )

476. 1624035 ( Permutation = 1332 )

477. 1625403 ( Permutation = 1334 )

478. 1625304 ( Permutation = 1336 )

479. 1620453 ( Permutation = 1339 )

480. 1620354 ( Permutation = 1343 )

481. 1632450 ( Permutation = 1345 )

482. 1632405 ( Permutation = 1346 )

483. 1632540 ( Permutation = 1347 )

484. 1632504 ( Permutation = 1348 )

485. 1632054 ( Permutation = 1349 )

486. 1632045 ( Permutation = 1350 )

487. 1635420 ( Permutation = 1357 )

488. 1635402 ( Permutation = 1358 )

489. 1635240 ( Permutation = 1359 )

490. 1635204 ( Permutation = 1360 )

491. 1635024 ( Permutation = 1361 )

492. 1635042 ( Permutation = 1362 )

493. 1630452 ( Permutation = 1363 )

494. 1630425 ( Permutation = 1364 )

495. 1630542 ( Permutation = 1365 )

496. 1630524 ( Permutation = 1366 )

497. 1630254 ( Permutation = 1367 )

498. 1630245 ( Permutation = 1368 )

499. 1642350 ( Permutation = 1375 )

500. 1642305 ( Permutation = 1376 )

501. 1642530 ( Permutation = 1377 )

502. 1642503 ( Permutation = 1378 )

503. 1642053 ( Permutation = 1379 )

504. 1642035 ( Permutation = 1380 )

505. 1645230 ( Permutation = 1381 )

506. 1645203 ( Permutation = 1382 )

507. 1645320 ( Permutation = 1383 )

508. 1645302 ( Permutation = 1384 )

509. 1645032 ( Permutation = 1385 )

510. 1645023 ( Permutation = 1386 )

511. 1640253 ( Permutation = 1387 )

512. 1640235 ( Permutation = 1388 )

513. 1640523 ( Permutation = 1389 )

514. 1640532 ( Permutation = 1390 )

515. 1640352 ( Permutation = 1391 )

516. 1640325 ( Permutation = 1392 )

517. 1603542 ( Permutation = 1419 )

518. 1603524 ( Permutation = 1420 )

519. 1603254 ( Permutation = 1421 )

520. 1603245 ( Permutation = 1422 )

521. 1604532 ( Permutation = 1425 )

522. 1604523 ( Permutation = 1426 )

523. 1604253 ( Permutation = 1427 )

524. 1604235 ( Permutation = 1428 )

525. 1605423 ( Permutation = 1430 )

526. 1605324 ( Permutation = 1432 )

527. 1602453 ( Permutation = 1435 )

528. 1602354 ( Permutation = 1439 )

529. 2013546 ( Permutation = 1563 )

530. 2013645 ( Permutation = 1566 )

531. 2014536 ( Permutation = 1569 )

532. 2014635 ( Permutation = 1572 )

533. 2015463 ( Permutation = 1574 )

534. 2015364 ( Permutation = 1576 )

535. 2016453 ( Permutation = 1579 )

536. 2016354 ( Permutation = 1583 )

537. 2031546 ( Permutation = 1587 )

538. 2031645 ( Permutation = 1590 )

539. 2035416 ( Permutation = 1597 )

540. 2035461 ( Permutation = 1598 )

541. 2035146 ( Permutation = 1599 )

542. 2035164 ( Permutation = 1600 )

543. 2036451 ( Permutation = 1603 )

544. 2036415 ( Permutation = 1604 )

545. 2036154 ( Permutation = 1607 )

546. 2036145 ( Permutation = 1608 )

547. 2041536 ( Permutation = 1617 )

548. 2041635 ( Permutation = 1620 )

549. 2045136 ( Permutation = 1621 )

550. 2045163 ( Permutation = 1622 )

551. 2045316 ( Permutation = 1623 )

552. 2045361 ( Permutation = 1624 )

553. 2046153 ( Permutation = 1627 )

554. 2046135 ( Permutation = 1628 )

555. 2046351 ( Permutation = 1631 )

556. 2046315 ( Permutation = 1632 )

557. 2053146 ( Permutation = 1635 )

558. 2053164 ( Permutation = 1636 )

559. 2053614 ( Permutation = 1637 )

560. 2053641 ( Permutation = 1638 )

561. 2054136 ( Permutation = 1641 )

562. 2054163 ( Permutation = 1642 )

563. 2054613 ( Permutation = 1643 )

564. 2054631 ( Permutation = 1644 )

565. 2051463 ( Permutation = 1646 )

566. 2051364 ( Permutation = 1648 )

567. 2063541 ( Permutation = 1659 )

568. 2063514 ( Permutation = 1660 )

569. 2063154 ( Permutation = 1661 )

570. 2063145 ( Permutation = 1662 )

571. 2064531 ( Permutation = 1665 )

572. 2064513 ( Permutation = 1666 )

573. 2064153 ( Permutation = 1667 )

574. 2064135 ( Permutation = 1668 )

575. 2061453 ( Permutation = 1675 )

576. 2061354 ( Permutation = 1679 )

577. 2301546 ( Permutation = 1683 )

578. 2301645 ( Permutation = 1686 )

579. 2304516 ( Permutation = 1689 )

580. 2304615 ( Permutation = 1692 )

581. 2305416 ( Permutation = 1693 )

582. 2305461 ( Permutation = 1694 )

583. 2305146 ( Permutation = 1695 )

584. 2305164 ( Permutation = 1696 )

585. 2306451 ( Permutation = 1699 )

586. 2306415 ( Permutation = 1700 )

587. 2306154 ( Permutation = 1703 )

588. 2306145 ( Permutation = 1704 )

589. 2310546 ( Permutation = 1707 )

590. 2310645 ( Permutation = 1710 )

591. 2314506 ( Permutation = 1713 )

592. 2314605 ( Permutation = 1716 )

593. 2315406 ( Permutation = 1717 )

594. 2315460 ( Permutation = 1718 )

595. 2315046 ( Permutation = 1719 )

596. 2315064 ( Permutation = 1720 )

597. 2316450 ( Permutation = 1723 )

598. 2316405 ( Permutation = 1724 )

599. 2316054 ( Permutation = 1727 )

600. 2316045 ( Permutation = 1728 )

601. 2351406 ( Permutation = 1753 )

602. 2351460 ( Permutation = 1754 )

603. 2351046 ( Permutation = 1755 )

604. 2351064 ( Permutation = 1756 )

605. 2351604 ( Permutation = 1757 )

606. 2351640 ( Permutation = 1758 )

607. 2354106 ( Permutation = 1759 )

608. 2354160 ( Permutation = 1760 )

609. 2354016 ( Permutation = 1761 )

610. 2354061 ( Permutation = 1762 )

611. 2354601 ( Permutation = 1763 )

612. 2354610 ( Permutation = 1764 )

613. 2350416 ( Permutation = 1765 )

614. 2350461 ( Permutation = 1766 )

615. 2350146 ( Permutation = 1767 )

616. 2350164 ( Permutation = 1768 )

617. 2350614 ( Permutation = 1769 )

618. 2350641 ( Permutation = 1770 )

619. 2361450 ( Permutation = 1777 )

620. 2361405 ( Permutation = 1778 )

621. 2361540 ( Permutation = 1779 )

622. 2361504 ( Permutation = 1780 )

623. 2361054 ( Permutation = 1781 )

624. 2361045 ( Permutation = 1782 )

625. 2364150 ( Permutation = 1783 )

626. 2364105 ( Permutation = 1784 )

627. 2364510 ( Permutation = 1785 )

628. 2364501 ( Permutation = 1786 )

629. 2364051 ( Permutation = 1787 )

630. 2364015 ( Permutation = 1788 )

631. 2360451 ( Permutation = 1795 )

632. 2360415 ( Permutation = 1796 )

633. 2360541 ( Permutation = 1797 )

634. 2360514 ( Permutation = 1798 )

635. 2360154 ( Permutation = 1799 )

636. 2360145 ( Permutation = 1800 )

637. 2403516 ( Permutation = 1803 )

638. 2403615 ( Permutation = 1806 )

639. 2401536 ( Permutation = 1809 )

640. 2401635 ( Permutation = 1812 )

641. 2405136 ( Permutation = 1813 )

642. 2405163 ( Permutation = 1814 )

643. 2405316 ( Permutation = 1815 )

644. 2405361 ( Permutation = 1816 )

645. 2406153 ( Permutation = 1819 )

646. 2406135 ( Permutation = 1820 )

647. 2406351 ( Permutation = 1823 )

648. 2406315 ( Permutation = 1824 )

649. 2413506 ( Permutation = 1851 )

650. 2413605 ( Permutation = 1854 )

651. 2410536 ( Permutation = 1857 )

652. 2410635 ( Permutation = 1860 )

653. 2415036 ( Permutation = 1861 )

654. 2415063 ( Permutation = 1862 )

655. 2415306 ( Permutation = 1863 )

656. 2415360 ( Permutation = 1864 )

657. 2416053 ( Permutation = 1867 )

658. 2416035 ( Permutation = 1868 )

659. 2416350 ( Permutation = 1871 )

660. 2416305 ( Permutation = 1872 )

661. 2453106 ( Permutation = 1873 )

662. 2453160 ( Permutation = 1874 )

663. 2453016 ( Permutation = 1875 )

664. 2453061 ( Permutation = 1876 )

665. 2453601 ( Permutation = 1877 )

666. 2453610 ( Permutation = 1878 )

667. 2451306 ( Permutation = 1879 )

668. 2451360 ( Permutation = 1880 )

669. 2451036 ( Permutation = 1881 )

670. 2451063 ( Permutation = 1882 )

671. 2451603 ( Permutation = 1883 )

672. 2451630 ( Permutation = 1884 )

673. 2450136 ( Permutation = 1885 )

674. 2450163 ( Permutation = 1886 )

675. 2450316 ( Permutation = 1887 )

676. 2450361 ( Permutation = 1888 )

677. 2450631 ( Permutation = 1889 )

678. 2450613 ( Permutation = 1890 )

679. 2463150 ( Permutation = 1897 )

680. 2463105 ( Permutation = 1898 )

681. 2463510 ( Permutation = 1899 )

682. 2463501 ( Permutation = 1900 )

683. 2463051 ( Permutation = 1901 )

684. 2463015 ( Permutation = 1902 )

685. 2461350 ( Permutation = 1903 )

686. 2461305 ( Permutation = 1904 )

687. 2461530 ( Permutation = 1905 )

688. 2461503 ( Permutation = 1906 )

689. 2461053 ( Permutation = 1907 )

690. 2461035 ( Permutation = 1908 )

691. 2460153 ( Permutation = 1915 )

692. 2460135 ( Permutation = 1916 )

693. 2460513 ( Permutation = 1917 )

694. 2460531 ( Permutation = 1918 )

695. 2460351 ( Permutation = 1919 )

696. 2460315 ( Permutation = 1920 )

697. 2503146 ( Permutation = 1923 )

698. 2503164 ( Permutation = 1924 )

699. 2503614 ( Permutation = 1925 )

700. 2503641 ( Permutation = 1926 )

701. 2504136 ( Permutation = 1929 )

702. 2504163 ( Permutation = 1930 )

703. 2504613 ( Permutation = 1931 )

704. 2504631 ( Permutation = 1932 )

705. 2501463 ( Permutation = 1934 )

706. 2501364 ( Permutation = 1936 )

707. 2506413 ( Permutation = 1939 )

708. 2506314 ( Permutation = 1943 )

709. 2530416 ( Permutation = 1945 )

710. 2530461 ( Permutation = 1946 )

711. 2530146 ( Permutation = 1947 )

712. 2530164 ( Permutation = 1948 )

713. 2530614 ( Permutation = 1949 )

714. 2530641 ( Permutation = 1950 )

715. 2531406 ( Permutation = 1957 )

716. 2531460 ( Permutation = 1958 )

717. 2531046 ( Permutation = 1959 )

718. 2531064 ( Permutation = 1960 )

719. 2531604 ( Permutation = 1961 )

720. 2531640 ( Permutation = 1962 )

721. 2536410 ( Permutation = 1963 )

722. 2536401 ( Permutation = 1964 )

723. 2536140 ( Permutation = 1965 )

724. 2536104 ( Permutation = 1966 )

725. 2536014 ( Permutation = 1967 )

726. 2536041 ( Permutation = 1968 )

727. 2540316 ( Permutation = 1975 )

728. 2540361 ( Permutation = 1976 )

729. 2540136 ( Permutation = 1977 )

730. 2540163 ( Permutation = 1978 )

731. 2540613 ( Permutation = 1979 )

732. 2540631 ( Permutation = 1980 )

733. 2541036 ( Permutation = 1981 )

734. 2541063 ( Permutation = 1982 )

735. 2541306 ( Permutation = 1983 )

736. 2541360 ( Permutation = 1984 )

737. 2541630 ( Permutation = 1985 )

738. 2541603 ( Permutation = 1986 )

739. 2546013 ( Permutation = 1987 )

740. 2546031 ( Permutation = 1988 )

741. 2546103 ( Permutation = 1989 )

742. 2546130 ( Permutation = 1990 )

743. 2546310 ( Permutation = 1991 )

744. 2546301 ( Permutation = 1992 )

745. 2513046 ( Permutation = 1995 )

746. 2513064 ( Permutation = 1996 )

747. 2513604 ( Permutation = 1997 )

748. 2513640 ( Permutation = 1998 )

749. 2514036 ( Permutation = 2001 )

750. 2514063 ( Permutation = 2002 )

751. 2514603 ( Permutation = 2003 )

752. 2514630 ( Permutation = 2004 )

753. 2510463 ( Permutation = 2006 )

754. 2510364 ( Permutation = 2008 )

755. 2516403 ( Permutation = 2011 )

756. 2516304 ( Permutation = 2015 )

757. 2603541 ( Permutation = 2043 )

758. 2603514 ( Permutation = 2044 )

759. 2603154 ( Permutation = 2045 )

760. 2603145 ( Permutation = 2046 )

761. 2604531 ( Permutation = 2049 )

762. 2604513 ( Permutation = 2050 )

763. 2604153 ( Permutation = 2051 )

764. 2604135 ( Permutation = 2052 )

765. 2605413 ( Permutation = 2054 )

766. 2605314 ( Permutation = 2056 )

767. 2601453 ( Permutation = 2059 )

768. 2601354 ( Permutation = 2063 )

769. 2630451 ( Permutation = 2065 )

770. 2630415 ( Permutation = 2066 )

771. 2630541 ( Permutation = 2067 )

772. 2630514 ( Permutation = 2068 )

773. 2630154 ( Permutation = 2069 )

774. 2630145 ( Permutation = 2070 )

775. 2635401 ( Permutation = 2077 )

776. 2635410 ( Permutation = 2078 )

777. 2635041 ( Permutation = 2079 )

778. 2635014 ( Permutation = 2080 )

779. 2635104 ( Permutation = 2081 )

780. 2635140 ( Permutation = 2082 )

781. 2631450 ( Permutation = 2083 )

782. 2631405 ( Permutation = 2084 )

783. 2631540 ( Permutation = 2085 )

784. 2631504 ( Permutation = 2086 )

785. 2631054 ( Permutation = 2087 )

786. 2631045 ( Permutation = 2088 )

787. 2640351 ( Permutation = 2095 )

788. 2640315 ( Permutation = 2096 )

789. 2640531 ( Permutation = 2097 )

790. 2640513 ( Permutation = 2098 )

791. 2640153 ( Permutation = 2099 )

792. 2640135 ( Permutation = 2100 )

793. 2645031 ( Permutation = 2101 )

794. 2645013 ( Permutation = 2102 )

795. 2645301 ( Permutation = 2103 )

796. 2645310 ( Permutation = 2104 )

797. 2645130 ( Permutation = 2105 )

798. 2645103 ( Permutation = 2106 )

799. 2641053 ( Permutation = 2107 )

800. 2641035 ( Permutation = 2108 )

801. 2641503 ( Permutation = 2109 )

802. 2641530 ( Permutation = 2110 )

803. 2641350 ( Permutation = 2111 )

804. 2641305 ( Permutation = 2112 )

805. 2613540 ( Permutation = 2139 )

806. 2613504 ( Permutation = 2140 )

807. 2613054 ( Permutation = 2141 )

808. 2613045 ( Permutation = 2142 )

809. 2614530 ( Permutation = 2145 )

810. 2614503 ( Permutation = 2146 )

811. 2614053 ( Permutation = 2147 )

812. 2614035 ( Permutation = 2148 )

813. 2615403 ( Permutation = 2150 )

814. 2615304 ( Permutation = 2152 )

815. 2610453 ( Permutation = 2155 )

816. 2610354 ( Permutation = 2159 )

817. 3102546 ( Permutation = 2187 )

818. 3102645 ( Permutation = 2190 )

819. 3104526 ( Permutation = 2193 )

820. 3104625 ( Permutation = 2196 )

821. 3105426 ( Permutation = 2197 )

822. 3105462 ( Permutation = 2198 )

823. 3105246 ( Permutation = 2199 )

824. 3105264 ( Permutation = 2200 )

825. 3106452 ( Permutation = 2203 )

826. 3106425 ( Permutation = 2204 )

827. 3106254 ( Permutation = 2207 )

828. 3106245 ( Permutation = 2208 )

829. 3140526 ( Permutation = 2211 )

830. 3140625 ( Permutation = 2214 )

831. 3142506 ( Permutation = 2217 )

832. 3142605 ( Permutation = 2220 )

833. 3145206 ( Permutation = 2221 )

834. 3145260 ( Permutation = 2222 )

835. 3145026 ( Permutation = 2223 )

836. 3145062 ( Permutation = 2224 )

837. 3146250 ( Permutation = 2227 )

838. 3146205 ( Permutation = 2228 )

839. 3146052 ( Permutation = 2231 )

840. 3146025 ( Permutation = 2232 )

841. 3150426 ( Permutation = 2233 )

842. 3150462 ( Permutation = 2234 )

843. 3150246 ( Permutation = 2235 )

844. 3150264 ( Permutation = 2236 )

845. 3150624 ( Permutation = 2237 )

846. 3150642 ( Permutation = 2238 )

847. 3154026 ( Permutation = 2239 )

848. 3154062 ( Permutation = 2240 )

849. 3154206 ( Permutation = 2241 )

850. 3154260 ( Permutation = 2242 )

851. 3154620 ( Permutation = 2243 )

852. 3154602 ( Permutation = 2244 )

853. 3152406 ( Permutation = 2245 )

854. 3152460 ( Permutation = 2246 )

855. 3152046 ( Permutation = 2247 )

856. 3152064 ( Permutation = 2248 )

857. 3152604 ( Permutation = 2249 )

858. 3152640 ( Permutation = 2250 )

859. 3160452 ( Permutation = 2257 )

860. 3160425 ( Permutation = 2258 )

861. 3160542 ( Permutation = 2259 )

862. 3160524 ( Permutation = 2260 )

863. 3160254 ( Permutation = 2261 )

864. 3160245 ( Permutation = 2262 )

865. 3164052 ( Permutation = 2263 )

866. 3164025 ( Permutation = 2264 )

867. 3164502 ( Permutation = 2265 )

868. 3164520 ( Permutation = 2266 )

869. 3164250 ( Permutation = 2267 )

870. 3164205 ( Permutation = 2268 )

871. 3162450 ( Permutation = 2275 )

872. 3162405 ( Permutation = 2276 )

873. 3162540 ( Permutation = 2277 )

874. 3162504 ( Permutation = 2278 )

875. 3162054 ( Permutation = 2279 )

876. 3162045 ( Permutation = 2280 )

877. 3201546 ( Permutation = 2307 )

878. 3201645 ( Permutation = 2310 )

879. 3204516 ( Permutation = 2313 )

880. 3204615 ( Permutation = 2316 )

881. 3205416 ( Permutation = 2317 )

882. 3205461 ( Permutation = 2318 )

883. 3205146 ( Permutation = 2319 )

884. 3205164 ( Permutation = 2320 )

885. 3206451 ( Permutation = 2323 )

886. 3206415 ( Permutation = 2324 )

887. 3206154 ( Permutation = 2327 )

888. 3206145 ( Permutation = 2328 )

889. 3240516 ( Permutation = 2331 )

890. 3240615 ( Permutation = 2334 )

891. 3241506 ( Permutation = 2337 )

892. 3241605 ( Permutation = 2340 )

893. 3245106 ( Permutation = 2341 )

894. 3245160 ( Permutation = 2342 )

895. 3245016 ( Permutation = 2343 )

896. 3245061 ( Permutation = 2344 )

897. 3246150 ( Permutation = 2347 )

898. 3246105 ( Permutation = 2348 )

899. 3246051 ( Permutation = 2351 )

900. 3246015 ( Permutation = 2352 )

901. 3250416 ( Permutation = 2353 )

902. 3250461 ( Permutation = 2354 )

903. 3250146 ( Permutation = 2355 )

904. 3250164 ( Permutation = 2356 )

905. 3250614 ( Permutation = 2357 )

906. 3250641 ( Permutation = 2358 )

907. 3254016 ( Permutation = 2359 )

908. 3254061 ( Permutation = 2360 )

909. 3254106 ( Permutation = 2361 )

910. 3254160 ( Permutation = 2362 )

911. 3254610 ( Permutation = 2363 )

912. 3254601 ( Permutation = 2364 )

913. 3251406 ( Permutation = 2365 )

914. 3251460 ( Permutation = 2366 )

915. 3251046 ( Permutation = 2367 )

916. 3251064 ( Permutation = 2368 )

917. 3251604 ( Permutation = 2369 )

918. 3251640 ( Permutation = 2370 )

919. 3260451 ( Permutation = 2377 )

920. 3260415 ( Permutation = 2378 )

921. 3260541 ( Permutation = 2379 )

922. 3260514 ( Permutation = 2380 )

923. 3260154 ( Permutation = 2381 )

924. 3260145 ( Permutation = 2382 )

925. 3264051 ( Permutation = 2383 )

926. 3264015 ( Permutation = 2384 )

927. 3264501 ( Permutation = 2385 )

928. 3264510 ( Permutation = 2386 )

929. 3264150 ( Permutation = 2387 )

930. 3264105 ( Permutation = 2388 )

931. 3261450 ( Permutation = 2395 )

932. 3261405 ( Permutation = 2396 )

933. 3261540 ( Permutation = 2397 )

934. 3261504 ( Permutation = 2398 )

935. 3261054 ( Permutation = 2399 )

936. 3261045 ( Permutation = 2400 )

937. 3024516 ( Permutation = 2409 )

938. 3024615 ( Permutation = 2412 )

939. 3025416 ( Permutation = 2413 )

940. 3025461 ( Permutation = 2414 )

941. 3025146 ( Permutation = 2415 )

942. 3025164 ( Permutation = 2416 )

943. 3026451 ( Permutation = 2419 )

944. 3026415 ( Permutation = 2420 )

945. 3026154 ( Permutation = 2423 )

946. 3026145 ( Permutation = 2424 )

947. 3014526 ( Permutation = 2433 )

948. 3014625 ( Permutation = 2436 )

949. 3015426 ( Permutation = 2437 )

950. 3015462 ( Permutation = 2438 )

951. 3015246 ( Permutation = 2439 )

952. 3015264 ( Permutation = 2440 )

953. 3016452 ( Permutation = 2443 )

954. 3016425 ( Permutation = 2444 )

955. 3016254 ( Permutation = 2447 )

956. 3016245 ( Permutation = 2448 )

957. 3041526 ( Permutation = 2451 )

958. 3041625 ( Permutation = 2454 )

959. 3042516 ( Permutation = 2457 )

960. 3042615 ( Permutation = 2460 )

961. 3045261 ( Permutation = 2462 )

962. 3045162 ( Permutation = 2464 )

963. 3046251 ( Permutation = 2467 )

964. 3046152 ( Permutation = 2471 )

965. 3051426 ( Permutation = 2473 )

966. 3051462 ( Permutation = 2474 )

967. 3051624 ( Permutation = 2477 )

968. 3051642 ( Permutation = 2478 )

969. 3054162 ( Permutation = 2480 )

970. 3054261 ( Permutation = 2482 )

971. 3052416 ( Permutation = 2485 )

972. 3052461 ( Permutation = 2486 )

973. 3052614 ( Permutation = 2489 )

974. 3052641 ( Permutation = 2490 )

975. 3061452 ( Permutation = 2497 )

976. 3061425 ( Permutation = 2498 )

977. 3061542 ( Permutation = 2499 )

978. 3061524 ( Permutation = 2500 )

979. 3064152 ( Permutation = 2503 )

980. 3064251 ( Permutation = 2507 )

981. 3062451 ( Permutation = 2515 )

982. 3062415 ( Permutation = 2516 )

983. 3062541 ( Permutation = 2517 )

984. 3062514 ( Permutation = 2518 )

985. 3520416 ( Permutation = 2641 )

986. 3520461 ( Permutation = 2642 )

987. 3520146 ( Permutation = 2643 )

988. 3520164 ( Permutation = 2644 )

989. 3520614 ( Permutation = 2645 )

990. 3520641 ( Permutation = 2646 )

991. 3524016 ( Permutation = 2647 )

992. 3524061 ( Permutation = 2648 )

993. 3524106 ( Permutation = 2649 )

994. 3524160 ( Permutation = 2650 )

995. 3524610 ( Permutation = 2651 )

996. 3524601 ( Permutation = 2652 )

997. 3526410 ( Permutation = 2659 )

998. 3526401 ( Permutation = 2660 )

999. 3526140 ( Permutation = 2661 )

1000. 3526104 ( Permutation = 2662 )

1001. 3526014 ( Permutation = 2663 )

1002. 3526041 ( Permutation = 2664 )

1003. 3502416 ( Permutation = 2665 )

1004. 3502461 ( Permutation = 2666 )

1005. 3502614 ( Permutation = 2669 )

1006. 3502641 ( Permutation = 2670 )

1007. 3504261 ( Permutation = 2672 )

1008. 3504162 ( Permutation = 2674 )

1009. 3501426 ( Permutation = 2677 )

1010. 3501462 ( Permutation = 2678 )

1011. 3501624 ( Permutation = 2681 )

1012. 3501642 ( Permutation = 2682 )

1013. 3506142 ( Permutation = 2685 )

1014. 3506241 ( Permutation = 2688 )

1015. 3540261 ( Permutation = 2690 )

1016. 3540162 ( Permutation = 2692 )

1017. 3542016 ( Permutation = 2695 )

1018. 3542061 ( Permutation = 2696 )

1019. 3542610 ( Permutation = 2699 )

1020. 3542601 ( Permutation = 2700 )

1021. 3541026 ( Permutation = 2703 )

1022. 3541062 ( Permutation = 2704 )

1023. 3541602 ( Permutation = 2705 )

1024. 3541620 ( Permutation = 2706 )

1025. 3546201 ( Permutation = 2708 )

1026. 3546102 ( Permutation = 2710 )

1027. 3510426 ( Permutation = 2713 )

1028. 3510462 ( Permutation = 2714 )

1029. 3510246 ( Permutation = 2715 )

1030. 3510264 ( Permutation = 2716 )

1031. 3510624 ( Permutation = 2717 )

1032. 3510642 ( Permutation = 2718 )

1033. 3514026 ( Permutation = 2719 )

1034. 3514062 ( Permutation = 2720 )

1035. 3514206 ( Permutation = 2721 )

1036. 3514260 ( Permutation = 2722 )

1037. 3514620 ( Permutation = 2723 )

1038. 3514602 ( Permutation = 2724 )

1039. 3516420 ( Permutation = 2731 )

1040. 3516402 ( Permutation = 2732 )

1041. 3516240 ( Permutation = 2733 )

1042. 3516204 ( Permutation = 2734 )

1043. 3516024 ( Permutation = 2735 )

1044. 3516042 ( Permutation = 2736 )

1045. 3620451 ( Permutation = 2761 )

1046. 3620415 ( Permutation = 2762 )

1047. 3620541 ( Permutation = 2763 )

1048. 3620514 ( Permutation = 2764 )

1049. 3620154 ( Permutation = 2765 )

1050. 3620145 ( Permutation = 2766 )

1051. 3624051 ( Permutation = 2767 )

1052. 3624015 ( Permutation = 2768 )

1053. 3624501 ( Permutation = 2769 )

1054. 3624510 ( Permutation = 2770 )

1055. 3624150 ( Permutation = 2771 )

1056. 3624105 ( Permutation = 2772 )

1057. 3625401 ( Permutation = 2773 )

1058. 3625410 ( Permutation = 2774 )

1059. 3625041 ( Permutation = 2775 )

1060. 3625014 ( Permutation = 2776 )

1061. 3625104 ( Permutation = 2777 )

1062. 3625140 ( Permutation = 2778 )

1063. 3602451 ( Permutation = 2785 )

1064. 3602415 ( Permutation = 2786 )

1065. 3602541 ( Permutation = 2787 )

1066. 3602514 ( Permutation = 2788 )

1067. 3604251 ( Permutation = 2791 )

1068. 3604152 ( Permutation = 2795 )

1069. 3605241 ( Permutation = 2799 )

1070. 3605142 ( Permutation = 2802 )

1071. 3601452 ( Permutation = 2803 )

1072. 3601425 ( Permutation = 2804 )

1073. 3601542 ( Permutation = 2805 )

1074. 3601524 ( Permutation = 2806 )

1075. 3640251 ( Permutation = 2809 )

1076. 3640152 ( Permutation = 2813 )

1077. 3642051 ( Permutation = 2815 )

1078. 3642015 ( Permutation = 2816 )

1079. 3642501 ( Permutation = 2817 )

1080. 3642510 ( Permutation = 2818 )

1081. 3645201 ( Permutation = 2821 )

1082. 3645102 ( Permutation = 2825 )

1083. 3641520 ( Permutation = 2829 )

1084. 3641502 ( Permutation = 2830 )

1085. 3641052 ( Permutation = 2831 )

1086. 3641025 ( Permutation = 2832 )

1087. 3610452 ( Permutation = 2857 )

1088. 3610425 ( Permutation = 2858 )

1089. 3610542 ( Permutation = 2859 )

1090. 3610524 ( Permutation = 2860 )

1091. 3610254 ( Permutation = 2861 )

1092. 3610245 ( Permutation = 2862 )

1093. 3614052 ( Permutation = 2863 )

1094. 3614025 ( Permutation = 2864 )

1095. 3614502 ( Permutation = 2865 )

1096. 3614520 ( Permutation = 2866 )

1097. 3614250 ( Permutation = 2867 )

1098. 3614205 ( Permutation = 2868 )

1099. 3615402 ( Permutation = 2869 )

1100. 3615420 ( Permutation = 2870 )

1101. 3615042 ( Permutation = 2871 )

1102. 3615024 ( Permutation = 2872 )

1103. 3615204 ( Permutation = 2873 )

1104. 3615240 ( Permutation = 2874 )

1105. 4132506 ( Permutation = 2907 )

1106. 4132605 ( Permutation = 2910 )

1107. 4130526 ( Permutation = 2913 )

1108. 4130625 ( Permutation = 2916 )

1109. 4135026 ( Permutation = 2917 )

1110. 4135062 ( Permutation = 2918 )

1111. 4135206 ( Permutation = 2919 )

1112. 4135260 ( Permutation = 2920 )

1113. 4136052 ( Permutation = 2923 )

1114. 4136025 ( Permutation = 2924 )

1115. 4136250 ( Permutation = 2927 )

1116. 4136205 ( Permutation = 2928 )

1117. 4103526 ( Permutation = 2931 )

1118. 4103625 ( Permutation = 2934 )

1119. 4102536 ( Permutation = 2937 )

1120. 4102635 ( Permutation = 2940 )

1121. 4105236 ( Permutation = 2941 )

1122. 4105263 ( Permutation = 2942 )

1123. 4105326 ( Permutation = 2943 )

1124. 4105362 ( Permutation = 2944 )

1125. 4106253 ( Permutation = 2947 )

1126. 4106235 ( Permutation = 2948 )

1127. 4106352 ( Permutation = 2951 )

1128. 4106325 ( Permutation = 2952 )

1129. 4153026 ( Permutation = 2953 )

1130. 4153062 ( Permutation = 2954 )

1131. 4153206 ( Permutation = 2955 )

1132. 4153260 ( Permutation = 2956 )

1133. 4153620 ( Permutation = 2957 )

1134. 4153602 ( Permutation = 2958 )

1135. 4150326 ( Permutation = 2959 )

1136. 4150362 ( Permutation = 2960 )

1137. 4150236 ( Permutation = 2961 )

1138. 4150263 ( Permutation = 2962 )

1139. 4150623 ( Permutation = 2963 )

1140. 4150632 ( Permutation = 2964 )

1141. 4152036 ( Permutation = 2965 )

1142. 4152063 ( Permutation = 2966 )

1143. 4152306 ( Permutation = 2967 )

1144. 4152360 ( Permutation = 2968 )

1145. 4152630 ( Permutation = 2969 )

1146. 4152603 ( Permutation = 2970 )

1147. 4163052 ( Permutation = 2977 )

1148. 4163025 ( Permutation = 2978 )

1149. 4163502 ( Permutation = 2979 )

1150. 4163520 ( Permutation = 2980 )

1151. 4163250 ( Permutation = 2981 )

1152. 4163205 ( Permutation = 2982 )

1153. 4160352 ( Permutation = 2983 )

1154. 4160325 ( Permutation = 2984 )

1155. 4160532 ( Permutation = 2985 )

1156. 4160523 ( Permutation = 2986 )

1157. 4160253 ( Permutation = 2987 )

1158. 4160235 ( Permutation = 2988 )

1159. 4162053 ( Permutation = 2995 )

1160. 4162035 ( Permutation = 2996 )

1161. 4162503 ( Permutation = 2997 )

1162. 4162530 ( Permutation = 2998 )

1163. 4162350 ( Permutation = 2999 )

1164. 4162305 ( Permutation = 3000 )

1165. 4231506 ( Permutation = 3027 )

1166. 4231605 ( Permutation = 3030 )

1167. 4230516 ( Permutation = 3033 )

1168. 4230615 ( Permutation = 3036 )

1169. 4235016 ( Permutation = 3037 )

1170. 4235061 ( Permutation = 3038 )

1171. 4235106 ( Permutation = 3039 )

1172. 4235160 ( Permutation = 3040 )

1173. 4236051 ( Permutation = 3043 )

1174. 4236015 ( Permutation = 3044 )

1175. 4236150 ( Permutation = 3047 )

1176. 4236105 ( Permutation = 3048 )

1177. 4203516 ( Permutation = 3051 )

1178. 4203615 ( Permutation = 3054 )

1179. 4201536 ( Permutation = 3057 )

1180. 4201635 ( Permutation = 3060 )

1181. 4205136 ( Permutation = 3061 )

1182. 4205163 ( Permutation = 3062 )

1183. 4205316 ( Permutation = 3063 )

1184. 4205361 ( Permutation = 3064 )

1185. 4206153 ( Permutation = 3067 )

1186. 4206135 ( Permutation = 3068 )

1187. 4206351 ( Permutation = 3071 )

1188. 4206315 ( Permutation = 3072 )

1189. 4253016 ( Permutation = 3073 )

1190. 4253061 ( Permutation = 3074 )

1191. 4253106 ( Permutation = 3075 )

1192. 4253160 ( Permutation = 3076 )

1193. 4253610 ( Permutation = 3077 )

1194. 4253601 ( Permutation = 3078 )

1195. 4250316 ( Permutation = 3079 )

1196. 4250361 ( Permutation = 3080 )

1197. 4250136 ( Permutation = 3081 )

1198. 4250163 ( Permutation = 3082 )

1199. 4250613 ( Permutation = 3083 )

1200. 4250631 ( Permutation = 3084 )

1201. 4251036 ( Permutation = 3085 )

1202. 4251063 ( Permutation = 3086 )

1203. 4251306 ( Permutation = 3087 )

1204. 4251360 ( Permutation = 3088 )

1205. 4251630 ( Permutation = 3089 )

1206. 4251603 ( Permutation = 3090 )

1207. 4263051 ( Permutation = 3097 )

1208. 4263015 ( Permutation = 3098 )

1209. 4263501 ( Permutation = 3099 )

1210. 4263510 ( Permutation = 3100 )

1211. 4263150 ( Permutation = 3101 )

1212. 4263105 ( Permutation = 3102 )

1213. 4260351 ( Permutation = 3103 )

1214. 4260315 ( Permutation = 3104 )

1215. 4260531 ( Permutation = 3105 )

1216. 4260513 ( Permutation = 3106 )

1217. 4260153 ( Permutation = 3107 )

1218. 4260135 ( Permutation = 3108 )

1219. 4261053 ( Permutation = 3115 )

1220. 4261035 ( Permutation = 3116 )

1221. 4261503 ( Permutation = 3117 )

1222. 4261530 ( Permutation = 3118 )

1223. 4261350 ( Permutation = 3119 )

1224. 4261305 ( Permutation = 3120 )

1225. 4023516 ( Permutation = 3243 )

1226. 4023615 ( Permutation = 3246 )

1227. 4025136 ( Permutation = 3253 )

1228. 4025163 ( Permutation = 3254 )

1229. 4025316 ( Permutation = 3255 )

1230. 4025361 ( Permutation = 3256 )

1231. 4026153 ( Permutation = 3259 )

1232. 4026135 ( Permutation = 3260 )

1233. 4026351 ( Permutation = 3263 )

1234. 4026315 ( Permutation = 3264 )

1235. 4032516 ( Permutation = 3267 )

1236. 4032615 ( Permutation = 3270 )

1237. 4031526 ( Permutation = 3273 )

1238. 4031625 ( Permutation = 3276 )

1239. 4035162 ( Permutation = 3278 )

1240. 4035261 ( Permutation = 3280 )

1241. 4036152 ( Permutation = 3283 )

1242. 4036251 ( Permutation = 3287 )

1243. 4013526 ( Permutation = 3291 )

1244. 4013625 ( Permutation = 3294 )

1245. 4015236 ( Permutation = 3301 )

1246. 4015263 ( Permutation = 3302 )

1247. 4015326 ( Permutation = 3303 )

1248. 4015362 ( Permutation = 3304 )

1249. 4016253 ( Permutation = 3307 )

1250. 4016235 ( Permutation = 3308 )

1251. 4016352 ( Permutation = 3311 )

1252. 4016325 ( Permutation = 3312 )

1253. 4053162 ( Permutation = 3314 )

1254. 4053261 ( Permutation = 3316 )

1255. 4051326 ( Permutation = 3319 )

1256. 4051362 ( Permutation = 3320 )

1257. 4051623 ( Permutation = 3323 )

1258. 4051632 ( Permutation = 3324 )

1259. 4052316 ( Permutation = 3327 )

1260. 4052361 ( Permutation = 3328 )

1261. 4052631 ( Permutation = 3329 )

1262. 4052613 ( Permutation = 3330 )

1263. 4063152 ( Permutation = 3337 )

1264. 4063251 ( Permutation = 3341 )

1265. 4061352 ( Permutation = 3343 )

1266. 4061325 ( Permutation = 3344 )

1267. 4061532 ( Permutation = 3345 )

1268. 4061523 ( Permutation = 3346 )

1269. 4062513 ( Permutation = 3357 )

1270. 4062531 ( Permutation = 3358 )

1271. 4062351 ( Permutation = 3359 )

1272. 4062315 ( Permutation = 3360 )

1273. 4523016 ( Permutation = 3361 )

1274. 4523061 ( Permutation = 3362 )

1275. 4523106 ( Permutation = 3363 )

1276. 4523160 ( Permutation = 3364 )

1277. 4523610 ( Permutation = 3365 )

1278. 4523601 ( Permutation = 3366 )

1279. 4520316 ( Permutation = 3367 )

1280. 4520361 ( Permutation = 3368 )

1281. 4520136 ( Permutation = 3369 )

1282. 4520163 ( Permutation = 3370 )

1283. 4520613 ( Permutation = 3371 )

1284. 4520631 ( Permutation = 3372 )

1285. 4526013 ( Permutation = 3379 )

1286. 4526031 ( Permutation = 3380 )

1287. 4526103 ( Permutation = 3381 )

1288. 4526130 ( Permutation = 3382 )

1289. 4526310 ( Permutation = 3383 )

1290. 4526301 ( Permutation = 3384 )

1291. 4532016 ( Permutation = 3385 )

1292. 4532061 ( Permutation = 3386 )

1293. 4532610 ( Permutation = 3389 )

1294. 4532601 ( Permutation = 3390 )

1295. 4530261 ( Permutation = 3392 )

1296. 4530162 ( Permutation = 3394 )

1297. 4531026 ( Permutation = 3397 )

1298. 4531062 ( Permutation = 3398 )

1299. 4531620 ( Permutation = 3401 )

1300. 4531602 ( Permutation = 3402 )

1301. 4536102 ( Permutation = 3405 )

1302. 4536201 ( Permutation = 3408 )

1303. 4503261 ( Permutation = 3410 )

1304. 4503162 ( Permutation = 3412 )

1305. 4502316 ( Permutation = 3415 )

1306. 4502361 ( Permutation = 3416 )

1307. 4502613 ( Permutation = 3419 )

1308. 4502631 ( Permutation = 3420 )

1309. 4501326 ( Permutation = 3423 )

1310. 4501362 ( Permutation = 3424 )

1311. 4501632 ( Permutation = 3425 )

1312. 4501623 ( Permutation = 3426 )

1313. 4506231 ( Permutation = 3428 )

1314. 4506132 ( Permutation = 3430 )

1315. 4513026 ( Permutation = 3433 )

1316. 4513062 ( Permutation = 3434 )

1317. 4513206 ( Permutation = 3435 )

1318. 4513260 ( Permutation = 3436 )

1319. 4513620 ( Permutation = 3437 )

1320. 4513602 ( Permutation = 3438 )

1321. 4510326 ( Permutation = 3439 )

1322. 4510362 ( Permutation = 3440 )

1323. 4510236 ( Permutation = 3441 )

1324. 4510263 ( Permutation = 3442 )

1325. 4510623 ( Permutation = 3443 )

1326. 4510632 ( Permutation = 3444 )

1327. 4516023 ( Permutation = 3451 )

1328. 4516032 ( Permutation = 3452 )

1329. 4516203 ( Permutation = 3453 )

1330. 4516230 ( Permutation = 3454 )

1331. 4516320 ( Permutation = 3455 )

1332. 4516302 ( Permutation = 3456 )

1333. 4623051 ( Permutation = 3481 )

1334. 4623015 ( Permutation = 3482 )

1335. 4623501 ( Permutation = 3483 )

1336. 4623510 ( Permutation = 3484 )

1337. 4623150 ( Permutation = 3485 )

1338. 4623105 ( Permutation = 3486 )

1339. 4620351 ( Permutation = 3487 )

1340. 4620315 ( Permutation = 3488 )

1341. 4620531 ( Permutation = 3489 )

1342. 4620513 ( Permutation = 3490 )

1343. 4620153 ( Permutation = 3491 )

1344. 4620135 ( Permutation = 3492 )

1345. 4625031 ( Permutation = 3493 )

1346. 4625013 ( Permutation = 3494 )

1347. 4625301 ( Permutation = 3495 )

1348. 4625310 ( Permutation = 3496 )

1349. 4625130 ( Permutation = 3497 )

1350. 4625103 ( Permutation = 3498 )

1351. 4632051 ( Permutation = 3505 )

1352. 4632015 ( Permutation = 3506 )

1353. 4632501 ( Permutation = 3507 )

1354. 4632510 ( Permutation = 3508 )

1355. 4630251 ( Permutation = 3511 )

1356. 4630152 ( Permutation = 3515 )

1357. 4635201 ( Permutation = 3519 )

1358. 4635102 ( Permutation = 3522 )

1359. 4631052 ( Permutation = 3523 )

1360. 4631025 ( Permutation = 3524 )

1361. 4631502 ( Permutation = 3525 )

1362. 4631520 ( Permutation = 3526 )

1363. 4603251 ( Permutation = 3529 )

1364. 4603152 ( Permutation = 3533 )

1365. 4602351 ( Permutation = 3535 )

1366. 4602315 ( Permutation = 3536 )

1367. 4602531 ( Permutation = 3537 )

1368. 4602513 ( Permutation = 3538 )

1369. 4605231 ( Permutation = 3541 )

1370. 4605132 ( Permutation = 3545 )

1371. 4601523 ( Permutation = 3549 )

1372. 4601532 ( Permutation = 3550 )

1373. 4601352 ( Permutation = 3551 )

1374. 4601325 ( Permutation = 3552 )

1375. 4613052 ( Permutation = 3577 )

1376. 4613025 ( Permutation = 3578 )

1377. 4613502 ( Permutation = 3579 )

1378. 4613520 ( Permutation = 3580 )

1379. 4613250 ( Permutation = 3581 )

1380. 4613205 ( Permutation = 3582 )

1381. 4610352 ( Permutation = 3583 )

1382. 4610325 ( Permutation = 3584 )

1383. 4610532 ( Permutation = 3585 )

1384. 4610523 ( Permutation = 3586 )

1385. 4610253 ( Permutation = 3587 )

1386. 4610235 ( Permutation = 3588 )

1387. 4615032 ( Permutation = 3589 )

1388. 4615023 ( Permutation = 3590 )

1389. 4615302 ( Permutation = 3591 )

1390. 4615320 ( Permutation = 3592 )

1391. 4615230 ( Permutation = 3593 )

1392. 4615203 ( Permutation = 3594 )

1393. 5132406 ( Permutation = 3625 )

1394. 5132460 ( Permutation = 3626 )

1395. 5132046 ( Permutation = 3627 )

1396. 5132064 ( Permutation = 3628 )

1397. 5132604 ( Permutation = 3629 )

1398. 5132640 ( Permutation = 3630 )

1399. 5130426 ( Permutation = 3637 )

1400. 5130462 ( Permutation = 3638 )

1401. 5130246 ( Permutation = 3639 )

1402. 5130264 ( Permutation = 3640 )

1403. 5130624 ( Permutation = 3641 )

1404. 5130642 ( Permutation = 3642 )

1405. 5136402 ( Permutation = 3643 )

1406. 5136420 ( Permutation = 3644 )

1407. 5136042 ( Permutation = 3645 )

1408. 5136024 ( Permutation = 3646 )

1409. 5136204 ( Permutation = 3647 )

1410. 5136240 ( Permutation = 3648 )

1411. 5142306 ( Permutation = 3655 )

1412. 5142360 ( Permutation = 3656 )

1413. 5142036 ( Permutation = 3657 )

1414. 5142063 ( Permutation = 3658 )

1415. 5142603 ( Permutation = 3659 )

1416. 5142630 ( Permutation = 3660 )

1417. 5140236 ( Permutation = 3661 )

1418. 5140263 ( Permutation = 3662 )

1419. 5140326 ( Permutation = 3663 )

1420. 5140362 ( Permutation = 3664 )

1421. 5140632 ( Permutation = 3665 )

1422. 5140623 ( Permutation = 3666 )

1423. 5146203 ( Permutation = 3667 )

1424. 5146230 ( Permutation = 3668 )

1425. 5146023 ( Permutation = 3669 )

1426. 5146032 ( Permutation = 3670 )

1427. 5146302 ( Permutation = 3671 )

1428. 5146320 ( Permutation = 3672 )

1429. 5103246 ( Permutation = 3675 )

1430. 5103264 ( Permutation = 3676 )

1431. 5103624 ( Permutation = 3677 )

1432. 5103642 ( Permutation = 3678 )

1433. 5104236 ( Permutation = 3681 )

1434. 5104263 ( Permutation = 3682 )

1435. 5104623 ( Permutation = 3683 )

1436. 5104632 ( Permutation = 3684 )

1437. 5102463 ( Permutation = 3686 )

1438. 5102364 ( Permutation = 3688 )

1439. 5106423 ( Permutation = 3691 )

1440. 5106324 ( Permutation = 3695 )

1441. 5163042 ( Permutation = 3699 )

1442. 5163024 ( Permutation = 3700 )

1443. 5163204 ( Permutation = 3701 )

1444. 5163240 ( Permutation = 3702 )

1445. 5164032 ( Permutation = 3705 )

1446. 5164023 ( Permutation = 3706 )

1447. 5164203 ( Permutation = 3707 )

1448. 5164230 ( Permutation = 3708 )

1449. 5160423 ( Permutation = 3710 )

1450. 5160324 ( Permutation = 3712 )

1451. 5162403 ( Permutation = 3715 )

1452. 5162304 ( Permutation = 3719 )

1453. 5231406 ( Permutation = 3745 )

1454. 5231460 ( Permutation = 3746 )

1455. 5231046 ( Permutation = 3747 )

1456. 5231064 ( Permutation = 3748 )

1457. 5231604 ( Permutation = 3749 )

1458. 5231640 ( Permutation = 3750 )

1459. 5230416 ( Permutation = 3757 )

1460. 5230461 ( Permutation = 3758 )

1461. 5230146 ( Permutation = 3759 )

1462. 5230164 ( Permutation = 3760 )

1463. 5230614 ( Permutation = 3761 )

1464. 5230641 ( Permutation = 3762 )

1465. 5236401 ( Permutation = 3763 )

1466. 5236410 ( Permutation = 3764 )

1467. 5236041 ( Permutation = 3765 )

1468. 5236014 ( Permutation = 3766 )

1469. 5236104 ( Permutation = 3767 )

1470. 5236140 ( Permutation = 3768 )

1471. 5241306 ( Permutation = 3775 )

1472. 5241360 ( Permutation = 3776 )

1473. 5241036 ( Permutation = 3777 )

1474. 5241063 ( Permutation = 3778 )

1475. 5241603 ( Permutation = 3779 )

1476. 5241630 ( Permutation = 3780 )

1477. 5240136 ( Permutation = 3781 )

1478. 5240163 ( Permutation = 3782 )

1479. 5240316 ( Permutation = 3783 )

1480. 5240361 ( Permutation = 3784 )

1481. 5240631 ( Permutation = 3785 )

1482. 5240613 ( Permutation = 3786 )

1483. 5246103 ( Permutation = 3787 )

1484. 5246130 ( Permutation = 3788 )

1485. 5246013 ( Permutation = 3789 )

1486. 5246031 ( Permutation = 3790 )

1487. 5246301 ( Permutation = 3791 )

1488. 5246310 ( Permutation = 3792 )

1489. 5203146 ( Permutation = 3795 )

1490. 5203164 ( Permutation = 3796 )

1491. 5203614 ( Permutation = 3797 )

1492. 5203641 ( Permutation = 3798 )

1493. 5204136 ( Permutation = 3801 )

1494. 5204163 ( Permutation = 3802 )

1495. 5204613 ( Permutation = 3803 )

1496. 5204631 ( Permutation = 3804 )

1497. 5201463 ( Permutation = 3806 )

1498. 5201364 ( Permutation = 3808 )

1499. 5206413 ( Permutation = 3811 )

1500. 5206314 ( Permutation = 3815 )

1501. 5263041 ( Permutation = 3819 )

1502. 5263014 ( Permutation = 3820 )

1503. 5263104 ( Permutation = 3821 )

1504. 5263140 ( Permutation = 3822 )

1505. 5264031 ( Permutation = 3825 )

1506. 5264013 ( Permutation = 3826 )

1507. 5264103 ( Permutation = 3827 )

1508. 5264130 ( Permutation = 3828 )

1509. 5260413 ( Permutation = 3830 )

1510. 5260314 ( Permutation = 3832 )

1511. 5261403 ( Permutation = 3835 )

1512. 5261304 ( Permutation = 3839 )

1513. 5324106 ( Permutation = 3847 )

1514. 5324160 ( Permutation = 3848 )

1515. 5324016 ( Permutation = 3849 )

1516. 5324061 ( Permutation = 3850 )

1517. 5324601 ( Permutation = 3851 )

1518. 5324610 ( Permutation = 3852 )

1519. 5320416 ( Permutation = 3853 )

1520. 5320461 ( Permutation = 3854 )

1521. 5320146 ( Permutation = 3855 )

1522. 5320164 ( Permutation = 3856 )

1523. 5320614 ( Permutation = 3857 )

1524. 5320641 ( Permutation = 3858 )

1525. 5326401 ( Permutation = 3859 )

1526. 5326410 ( Permutation = 3860 )

1527. 5326041 ( Permutation = 3861 )

1528. 5326014 ( Permutation = 3862 )

1529. 5326104 ( Permutation = 3863 )

1530. 5326140 ( Permutation = 3864 )

1531. 5314206 ( Permutation = 3871 )

1532. 5314260 ( Permutation = 3872 )

1533. 5314026 ( Permutation = 3873 )

1534. 5314062 ( Permutation = 3874 )

1535. 5314602 ( Permutation = 3875 )

1536. 5314620 ( Permutation = 3876 )

1537. 5310426 ( Permutation = 3877 )

1538. 5310462 ( Permutation = 3878 )

1539. 5310246 ( Permutation = 3879 )

1540. 5310264 ( Permutation = 3880 )

1541. 5310624 ( Permutation = 3881 )

1542. 5310642 ( Permutation = 3882 )

1543. 5316402 ( Permutation = 3883 )

1544. 5316420 ( Permutation = 3884 )

1545. 5316042 ( Permutation = 3885 )

1546. 5316024 ( Permutation = 3886 )

1547. 5316204 ( Permutation = 3887 )

1548. 5316240 ( Permutation = 3888 )

1549. 5301426 ( Permutation = 3913 )

1550. 5301462 ( Permutation = 3914 )

1551. 5301624 ( Permutation = 3917 )

1552. 5301642 ( Permutation = 3918 )

1553. 5304162 ( Permutation = 3920 )

1554. 5304261 ( Permutation = 3922 )

1555. 5302416 ( Permutation = 3925 )

1556. 5302461 ( Permutation = 3926 )

1557. 5302614 ( Permutation = 3929 )

1558. 5302641 ( Permutation = 3930 )

1559. 5306241 ( Permutation = 3933 )

1560. 5306142 ( Permutation = 3936 )

1561. 5361402 ( Permutation = 3937 )

1562. 5361420 ( Permutation = 3938 )

1563. 5361042 ( Permutation = 3939 )

1564. 5361024 ( Permutation = 3940 )

1565. 5364102 ( Permutation = 3943 )

1566. 5364201 ( Permutation = 3947 )

1567. 5360142 ( Permutation = 3951 )

1568. 5360241 ( Permutation = 3954 )

1569. 5362401 ( Permutation = 3955 )

1570. 5362410 ( Permutation = 3956 )

1571. 5362041 ( Permutation = 3957 )

1572. 5362014 ( Permutation = 3958 )

1573. 5423106 ( Permutation = 3961 )

1574. 5423160 ( Permutation = 3962 )

1575. 5423016 ( Permutation = 3963 )

1576. 5423061 ( Permutation = 3964 )

1577. 5423601 ( Permutation = 3965 )

1578. 5423610 ( Permutation = 3966 )

1579. 5420136 ( Permutation = 3973 )

1580. 5420163 ( Permutation = 3974 )

1581. 5420316 ( Permutation = 3975 )

1582. 5420361 ( Permutation = 3976 )

1583. 5420631 ( Permutation = 3977 )

1584. 5420613 ( Permutation = 3978 )

1585. 5426103 ( Permutation = 3979 )

1586. 5426130 ( Permutation = 3980 )

1587. 5426013 ( Permutation = 3981 )

1588. 5426031 ( Permutation = 3982 )

1589. 5426301 ( Permutation = 3983 )

1590. 5426310 ( Permutation = 3984 )

1591. 5413206 ( Permutation = 4009 )

1592. 5413260 ( Permutation = 4010 )

1593. 5413026 ( Permutation = 4011 )

1594. 5413062 ( Permutation = 4012 )

1595. 5413602 ( Permutation = 4013 )

1596. 5413620 ( Permutation = 4014 )

1597. 5410236 ( Permutation = 4021 )

1598. 5410263 ( Permutation = 4022 )

1599. 5410326 ( Permutation = 4023 )

1600. 5410362 ( Permutation = 4024 )

1601. 5410632 ( Permutation = 4025 )

1602. 5410623 ( Permutation = 4026 )

1603. 5416203 ( Permutation = 4027 )

1604. 5416230 ( Permutation = 4028 )

1605. 5416023 ( Permutation = 4029 )

1606. 5416032 ( Permutation = 4030 )

1607. 5416302 ( Permutation = 4031 )

1608. 5416320 ( Permutation = 4032 )

1609. 5403162 ( Permutation = 4034 )

1610. 5403261 ( Permutation = 4036 )

1611. 5401326 ( Permutation = 4039 )

1612. 5401362 ( Permutation = 4040 )

1613. 5401623 ( Permutation = 4043 )

1614. 5401632 ( Permutation = 4044 )

1615. 5402316 ( Permutation = 4047 )

1616. 5402361 ( Permutation = 4048 )

1617. 5402631 ( Permutation = 4049 )

1618. 5402613 ( Permutation = 4050 )

1619. 5406132 ( Permutation = 4052 )

1620. 5406231 ( Permutation = 4054 )

1621. 5463102 ( Permutation = 4057 )

1622. 5463201 ( Permutation = 4061 )

1623. 5461302 ( Permutation = 4063 )

1624. 5461320 ( Permutation = 4064 )

1625. 5461032 ( Permutation = 4065 )

1626. 5461023 ( Permutation = 4066 )

1627. 5460132 ( Permutation = 4069 )

1628. 5460231 ( Permutation = 4073 )

1629. 5462013 ( Permutation = 4077 )

1630. 5462031 ( Permutation = 4078 )

1631. 5462301 ( Permutation = 4079 )

1632. 5462310 ( Permutation = 4080 )

1633. 5023146 ( Permutation = 4083 )

1634. 5023164 ( Permutation = 4084 )

1635. 5023614 ( Permutation = 4085 )

1636. 5023641 ( Permutation = 4086 )

1637. 5024136 ( Permutation = 4089 )

1638. 5024163 ( Permutation = 4090 )

1639. 5024613 ( Permutation = 4091 )

1640. 5024631 ( Permutation = 4092 )

1641. 5026413 ( Permutation = 4099 )

1642. 5026314 ( Permutation = 4103 )

1643. 5032416 ( Permutation = 4105 )

1644. 5032461 ( Permutation = 4106 )

1645. 5032614 ( Permutation = 4109 )

1646. 5032641 ( Permutation = 4110 )

1647. 5031426 ( Permutation = 4117 )

1648. 5031462 ( Permutation = 4118 )

1649. 5031624 ( Permutation = 4121 )

1650. 5031642 ( Permutation = 4122 )

1651. 5036142 ( Permutation = 4125 )

1652. 5036241 ( Permutation = 4128 )

1653. 5042316 ( Permutation = 4135 )

1654. 5042361 ( Permutation = 4136 )

1655. 5042613 ( Permutation = 4139 )

1656. 5042631 ( Permutation = 4140 )

1657. 5041326 ( Permutation = 4143 )

1658. 5041362 ( Permutation = 4144 )

1659. 5041632 ( Permutation = 4145 )

1660. 5041623 ( Permutation = 4146 )

1661. 5046231 ( Permutation = 4148 )

1662. 5046132 ( Permutation = 4150 )

1663. 5013246 ( Permutation = 4155 )

1664. 5013264 ( Permutation = 4156 )

1665. 5013624 ( Permutation = 4157 )

1666. 5013642 ( Permutation = 4158 )

1667. 5014236 ( Permutation = 4161 )

1668. 5014263 ( Permutation = 4162 )

1669. 5014623 ( Permutation = 4163 )

1670. 5014632 ( Permutation = 4164 )

1671. 5016423 ( Permutation = 4171 )

1672. 5016324 ( Permutation = 4175 )

1673. 5063142 ( Permutation = 4179 )

1674. 5063241 ( Permutation = 4182 )

1675. 5064132 ( Permutation = 4185 )

1676. 5064231 ( Permutation = 4188 )

1677. 5061423 ( Permutation = 4190 )

1678. 5061324 ( Permutation = 4192 )

1679. 5062413 ( Permutation = 4195 )

1680. 5062314 ( Permutation = 4199 )

1681. 6132450 ( Permutation = 4345 )

1682. 6132405 ( Permutation = 4346 )

1683. 6132540 ( Permutation = 4347 )

1684. 6132504 ( Permutation = 4348 )

1685. 6132054 ( Permutation = 4349 )

1686. 6132045 ( Permutation = 4350 )

1687. 6135420 ( Permutation = 4357 )

1688. 6135402 ( Permutation = 4358 )

1689. 6135240 ( Permutation = 4359 )

1690. 6135204 ( Permutation = 4360 )

1691. 6135024 ( Permutation = 4361 )

1692. 6135042 ( Permutation = 4362 )

1693. 6130452 ( Permutation = 4363 )

1694. 6130425 ( Permutation = 4364 )

1695. 6130542 ( Permutation = 4365 )

1696. 6130524 ( Permutation = 4366 )

1697. 6130254 ( Permutation = 4367 )

1698. 6130245 ( Permutation = 4368 )

1699. 6142350 ( Permutation = 4375 )

1700. 6142305 ( Permutation = 4376 )

1701. 6142530 ( Permutation = 4377 )

1702. 6142503 ( Permutation = 4378 )

1703. 6142053 ( Permutation = 4379 )

1704. 6142035 ( Permutation = 4380 )

1705. 6145230 ( Permutation = 4381 )

1706. 6145203 ( Permutation = 4382 )

1707. 6145320 ( Permutation = 4383 )

1708. 6145302 ( Permutation = 4384 )

1709. 6145032 ( Permutation = 4385 )

1710. 6145023 ( Permutation = 4386 )

1711. 6140253 ( Permutation = 4387 )

1712. 6140235 ( Permutation = 4388 )

1713. 6140523 ( Permutation = 4389 )

1714. 6140532 ( Permutation = 4390 )

1715. 6140352 ( Permutation = 4391 )

1716. 6140325 ( Permutation = 4392 )

1717. 6153240 ( Permutation = 4395 )

1718. 6153204 ( Permutation = 4396 )

1719. 6153024 ( Permutation = 4397 )

1720. 6153042 ( Permutation = 4398 )

1721. 6154230 ( Permutation = 4401 )

1722. 6154203 ( Permutation = 4402 )

1723. 6154023 ( Permutation = 4403 )

1724. 6154032 ( Permutation = 4404 )

1725. 6152403 ( Permutation = 4406 )

1726. 6152304 ( Permutation = 4408 )

1727. 6150423 ( Permutation = 4411 )

1728. 6150324 ( Permutation = 4415 )

1729. 6103542 ( Permutation = 4419 )

1730. 6103524 ( Permutation = 4420 )

1731. 6103254 ( Permutation = 4421 )

1732. 6103245 ( Permutation = 4422 )

1733. 6104532 ( Permutation = 4425 )

1734. 6104523 ( Permutation = 4426 )

1735. 6104253 ( Permutation = 4427 )

1736. 6104235 ( Permutation = 4428 )

1737. 6105423 ( Permutation = 4430 )

1738. 6105324 ( Permutation = 4432 )

1739. 6102453 ( Permutation = 4435 )

1740. 6102354 ( Permutation = 4439 )

1741. 6231450 ( Permutation = 4465 )

1742. 6231405 ( Permutation = 4466 )

1743. 6231540 ( Permutation = 4467 )

1744. 6231504 ( Permutation = 4468 )

1745. 6231054 ( Permutation = 4469 )

1746. 6231045 ( Permutation = 4470 )

1747. 6235410 ( Permutation = 4477 )

1748. 6235401 ( Permutation = 4478 )

1749. 6235140 ( Permutation = 4479 )

1750. 6235104 ( Permutation = 4480 )

1751. 6235014 ( Permutation = 4481 )

1752. 6235041 ( Permutation = 4482 )

1753. 6230451 ( Permutation = 4483 )

1754. 6230415 ( Permutation = 4484 )

1755. 6230541 ( Permutation = 4485 )

1756. 6230514 ( Permutation = 4486 )

1757. 6230154 ( Permutation = 4487 )

1758. 6230145 ( Permutation = 4488 )

1759. 6241350 ( Permutation = 4495 )

1760. 6241305 ( Permutation = 4496 )

1761. 6241530 ( Permutation = 4497 )

1762. 6241503 ( Permutation = 4498 )

1763. 6241053 ( Permutation = 4499 )

1764. 6241035 ( Permutation = 4500 )

1765. 6245130 ( Permutation = 4501 )

1766. 6245103 ( Permutation = 4502 )

1767. 6245310 ( Permutation = 4503 )

1768. 6245301 ( Permutation = 4504 )

1769. 6245031 ( Permutation = 4505 )

1770. 6245013 ( Permutation = 4506 )

1771. 6240153 ( Permutation = 4507 )

1772. 6240135 ( Permutation = 4508 )

1773. 6240513 ( Permutation = 4509 )

1774. 6240531 ( Permutation = 4510 )

1775. 6240351 ( Permutation = 4511 )

1776. 6240315 ( Permutation = 4512 )

1777. 6253140 ( Permutation = 4515 )

1778. 6253104 ( Permutation = 4516 )

1779. 6253014 ( Permutation = 4517 )

1780. 6253041 ( Permutation = 4518 )

1781. 6254130 ( Permutation = 4521 )

1782. 6254103 ( Permutation = 4522 )

1783. 6254013 ( Permutation = 4523 )

1784. 6254031 ( Permutation = 4524 )

1785. 6251403 ( Permutation = 4526 )

1786. 6251304 ( Permutation = 4528 )

1787. 6250413 ( Permutation = 4531 )

1788. 6250314 ( Permutation = 4535 )

1789. 6203541 ( Permutation = 4539 )

1790. 6203514 ( Permutation = 4540 )

1791. 6203154 ( Permutation = 4541 )

1792. 6203145 ( Permutation = 4542 )

1793. 6204531 ( Permutation = 4545 )

1794. 6204513 ( Permutation = 4546 )

1795. 6204153 ( Permutation = 4547 )

1796. 6204135 ( Permutation = 4548 )

1797. 6205413 ( Permutation = 4550 )

1798. 6205314 ( Permutation = 4552 )

1799. 6201453 ( Permutation = 4555 )

1800. 6201354 ( Permutation = 4559 )

1801. 6324150 ( Permutation = 4567 )

1802. 6324105 ( Permutation = 4568 )

1803. 6324510 ( Permutation = 4569 )

1804. 6324501 ( Permutation = 4570 )

1805. 6324051 ( Permutation = 4571 )

1806. 6324015 ( Permutation = 4572 )

1807. 6325410 ( Permutation = 4573 )

1808. 6325401 ( Permutation = 4574 )

1809. 6325140 ( Permutation = 4575 )

1810. 6325104 ( Permutation = 4576 )

1811. 6325014 ( Permutation = 4577 )

1812. 6325041 ( Permutation = 4578 )

1813. 6320451 ( Permutation = 4579 )

1814. 6320415 ( Permutation = 4580 )

1815. 6320541 ( Permutation = 4581 )

1816. 6320514 ( Permutation = 4582 )

1817. 6320154 ( Permutation = 4583 )

1818. 6320145 ( Permutation = 4584 )

1819. 6314250 ( Permutation = 4591 )

1820. 6314205 ( Permutation = 4592 )

1821. 6314520 ( Permutation = 4593 )

1822. 6314502 ( Permutation = 4594 )

1823. 6314052 ( Permutation = 4595 )

1824. 6314025 ( Permutation = 4596 )

1825. 6315420 ( Permutation = 4597 )

1826. 6315402 ( Permutation = 4598 )

1827. 6315240 ( Permutation = 4599 )

1828. 6315204 ( Permutation = 4600 )

1829. 6315024 ( Permutation = 4601 )

1830. 6315042 ( Permutation = 4602 )

1831. 6310452 ( Permutation = 4603 )

1832. 6310425 ( Permutation = 4604 )

1833. 6310542 ( Permutation = 4605 )

1834. 6310524 ( Permutation = 4606 )

1835. 6310254 ( Permutation = 4607 )

1836. 6310245 ( Permutation = 4608 )

1837. 6351420 ( Permutation = 4633 )

1838. 6351402 ( Permutation = 4634 )

1839. 6351024 ( Permutation = 4637 )

1840. 6351042 ( Permutation = 4638 )

1841. 6354102 ( Permutation = 4640 )

1842. 6354201 ( Permutation = 4642 )

1843. 6352410 ( Permutation = 4645 )

1844. 6352401 ( Permutation = 4646 )

1845. 6352014 ( Permutation = 4649 )

1846. 6352041 ( Permutation = 4650 )

1847. 6350241 ( Permutation = 4653 )

1848. 6350142 ( Permutation = 4656 )

1849. 6301452 ( Permutation = 4657 )

1850. 6301425 ( Permutation = 4658 )

1851. 6301542 ( Permutation = 4659 )

1852. 6301524 ( Permutation = 4660 )

1853. 6304152 ( Permutation = 4663 )

1854. 6304251 ( Permutation = 4667 )

1855. 6305142 ( Permutation = 4671 )

1856. 6305241 ( Permutation = 4674 )

1857. 6302451 ( Permutation = 4675 )

1858. 6302415 ( Permutation = 4676 )

1859. 6302541 ( Permutation = 4677 )

1860. 6302514 ( Permutation = 4678 )

1861. 6423150 ( Permutation = 4681 )

1862. 6423105 ( Permutation = 4682 )

1863. 6423510 ( Permutation = 4683 )

1864. 6423501 ( Permutation = 4684 )

1865. 6423051 ( Permutation = 4685 )

1866. 6423015 ( Permutation = 4686 )

1867. 6425130 ( Permutation = 4693 )

1868. 6425103 ( Permutation = 4694 )

1869. 6425310 ( Permutation = 4695 )

1870. 6425301 ( Permutation = 4696 )

1871. 6425031 ( Permutation = 4697 )

1872. 6425013 ( Permutation = 4698 )

1873. 6420153 ( Permutation = 4699 )

1874. 6420135 ( Permutation = 4700 )

1875. 6420513 ( Permutation = 4701 )

1876. 6420531 ( Permutation = 4702 )

1877. 6420351 ( Permutation = 4703 )

1878. 6420315 ( Permutation = 4704 )

1879. 6413250 ( Permutation = 4729 )

1880. 6413205 ( Permutation = 4730 )

1881. 6413520 ( Permutation = 4731 )

1882. 6413502 ( Permutation = 4732 )

1883. 6413052 ( Permutation = 4733 )

1884. 6413025 ( Permutation = 4734 )

1885. 6415230 ( Permutation = 4741 )

1886. 6415203 ( Permutation = 4742 )

1887. 6415320 ( Permutation = 4743 )

1888. 6415302 ( Permutation = 4744 )

1889. 6415032 ( Permutation = 4745 )

1890. 6415023 ( Permutation = 4746 )

1891. 6410253 ( Permutation = 4747 )

1892. 6410235 ( Permutation = 4748 )

1893. 6410523 ( Permutation = 4749 )

1894. 6410532 ( Permutation = 4750 )

1895. 6410352 ( Permutation = 4751 )

1896. 6410325 ( Permutation = 4752 )

1897. 6453102 ( Permutation = 4754 )

1898. 6453201 ( Permutation = 4756 )

1899. 6451320 ( Permutation = 4759 )

1900. 6451302 ( Permutation = 4760 )

1901. 6451023 ( Permutation = 4763 )

1902. 6451032 ( Permutation = 4764 )

1903. 6452310 ( Permutation = 4767 )

1904. 6452301 ( Permutation = 4768 )

1905. 6452031 ( Permutation = 4769 )

1906. 6452013 ( Permutation = 4770 )

1907. 6450132 ( Permutation = 4772 )

1908. 6450231 ( Permutation = 4774 )

1909. 6403152 ( Permutation = 4777 )

1910. 6403251 ( Permutation = 4781 )

1911. 6401352 ( Permutation = 4783 )

1912. 6401325 ( Permutation = 4784 )

1913. 6401532 ( Permutation = 4785 )

1914. 6401523 ( Permutation = 4786 )

1915. 6405132 ( Permutation = 4789 )

1916. 6405231 ( Permutation = 4793 )

1917. 6402513 ( Permutation = 4797 )

1918. 6402531 ( Permutation = 4798 )

1919. 6402351 ( Permutation = 4799 )

1920. 6402315 ( Permutation = 4800 )

1921. 6023541 ( Permutation = 4923 )

1922. 6023514 ( Permutation = 4924 )

1923. 6023154 ( Permutation = 4925 )

1924. 6023145 ( Permutation = 4926 )

1925. 6024531 ( Permutation = 4929 )

1926. 6024513 ( Permutation = 4930 )

1927. 6024153 ( Permutation = 4931 )

1928. 6024135 ( Permutation = 4932 )

1929. 6025413 ( Permutation = 4934 )

1930. 6025314 ( Permutation = 4936 )

1931. 6032451 ( Permutation = 4945 )

1932. 6032415 ( Permutation = 4946 )

1933. 6032541 ( Permutation = 4947 )

1934. 6032514 ( Permutation = 4948 )

1935. 6035241 ( Permutation = 4959 )

1936. 6035142 ( Permutation = 4962 )

1937. 6031452 ( Permutation = 4963 )

1938. 6031425 ( Permutation = 4964 )

1939. 6031542 ( Permutation = 4965 )

1940. 6031524 ( Permutation = 4966 )

1941. 6042351 ( Permutation = 4975 )

1942. 6042315 ( Permutation = 4976 )

1943. 6042531 ( Permutation = 4977 )

1944. 6042513 ( Permutation = 4978 )

1945. 6045231 ( Permutation = 4981 )

1946. 6045132 ( Permutation = 4985 )

1947. 6041523 ( Permutation = 4989 )

1948. 6041532 ( Permutation = 4990 )

1949. 6041352 ( Permutation = 4991 )

1950. 6041325 ( Permutation = 4992 )

1951. 6053241 ( Permutation = 4995 )

1952. 6053142 ( Permutation = 4998 )

1953. 6054231 ( Permutation = 5001 )

1954. 6054132 ( Permutation = 5004 )

1955. 6052413 ( Permutation = 5006 )

1956. 6052314 ( Permutation = 5008 )

1957. 6051423 ( Permutation = 5011 )

1958. 6051324 ( Permutation = 5015 )

1959. 6013542 ( Permutation = 5019 )

1960. 6013524 ( Permutation = 5020 )

1961. 6013254 ( Permutation = 5021 )

1962. 6013245 ( Permutation = 5022 )

1963. 6014532 ( Permutation = 5025 )

1964. 6014523 ( Permutation = 5026 )

1965. 6014253 ( Permutation = 5027 )

1966. 6014235 ( Permutation = 5028 )

1967. 6015423 ( Permutation = 5030 )

1968. 6015324 ( Permutation = 5032 )

so the final answer is 1968 ways can we seat 3 pairs of siblings in a row of 7 chairs, so that nobody sits next to his or her sibling

2.

Suppose we have six persons

a1,a2,b1,b2,c1,c2

and i assume that a1a2... and a2a1... are not distinct combinations!

then:

Let one pair Number 1 and Number 1

Let one pair Number 2 and Number 2

Let one pair Number 3 and Number 3

Let one empty chair Number 0

1. 0121323 ( Permutation = 8 )

2. 0123123 ( Permutation = 13 )

3. 0123132 ( Permutation = 14 )

4. 0123213 ( Permutation = 15 )

5. 0123231 ( Permutation = 16 )

6. 0131232 ( Permutation = 20 )

7. 0132123 ( Permutation = 22 )

8. 0132132 ( Permutation = 23 )

9. 0132312 ( Permutation = 26 )

10. 0132321 ( Permutation = 27 )

11. 0212313 ( Permutation = 35 )

12. 0213123 ( Permutation = 37 )

13. 0213132 ( Permutation = 38 )

14. 0213213 ( Permutation = 39 )

15. 0213231 ( Permutation = 40 )

16. 0231213 ( Permutation = 51 )

17. 0231231 ( Permutation = 52 )

18. 0231312 ( Permutation = 53 )

19. 0231321 ( Permutation = 54 )

20. 0232131 ( Permutation = 56 )

21. 0312123 ( Permutation = 64 )

22. 0312132 ( Permutation = 65 )

23. 0312312 ( Permutation = 68 )

24. 0312321 ( Permutation = 69 )

25. 0313212 ( Permutation = 71 )

26. 0321213 ( Permutation = 75 )

27. 0321231 ( Permutation = 76 )

28. 0321312 ( Permutation = 77 )

29. 0321321 ( Permutation = 78 )

30. 0323121 ( Permutation = 83 )

31. 1012323 ( Permutation = 92 )

32. 1013232 ( Permutation = 95 )

33. 1021323 ( Permutation = 98 )

34. 1023123 ( Permutation = 103 )

35. 1023132 ( Permutation = 104 )

36. 1023213 ( Permutation = 105 )

37. 1023231 ( Permutation = 106 )

38. 1031232 ( Permutation = 110 )

39. 1032123 ( Permutation = 112 )

40. 1032132 ( Permutation = 113 )

41. 1032312 ( Permutation = 116 )

42. 1032321 ( Permutation = 117 )

43. 1201323 ( Permutation = 152 )

44. 1202313 ( Permutation = 155 )

45. 1203123 ( Permutation = 157 )

46. 1203132 ( Permutation = 158 )

47. 1203213 ( Permutation = 159 )

48. 1203231 ( Permutation = 160 )

49. 1210323 ( Permutation = 164 )

50. 1212303 ( Permutation = 167 )

51. 1213023 ( Permutation = 169 )

52. 1213032 ( Permutation = 170 )

53. 1213203 ( Permutation = 171 )

54. 1213230 ( Permutation = 172 )

55. 1230123 ( Permutation = 187 )

56. 1230132 ( Permutation = 188 )

57. 1230213 ( Permutation = 189 )

58. 1230231 ( Permutation = 190 )

59. 1230312 ( Permutation = 191 )

60. 1230321 ( Permutation = 192 )

61. 1231023 ( Permutation = 193 )

62. 1231032 ( Permutation = 194 )

63. 1231203 ( Permutation = 195 )

64. 1231230 ( Permutation = 196 )

65. 1231302 ( Permutation = 197 )

66. 1231320 ( Permutation = 198 )

67. 1232013 ( Permutation = 199 )

68. 1232031 ( Permutation = 200 )

69. 1232103 ( Permutation = 201 )

70. 1232130 ( Permutation = 202 )

71. 1232301 ( Permutation = 203 )

72. 1232310 ( Permutation = 204 )

73. 1301232 ( Permutation = 212 )

74. 1302123 ( Permutation = 214 )

75. 1302132 ( Permutation = 215 )

76. 1302312 ( Permutation = 218 )

77. 1302321 ( Permutation = 219 )

78. 1303212 ( Permutation = 221 )

79. 1310232 ( Permutation = 224 )

80. 1312023 ( Permutation = 226 )

81. 1312032 ( Permutation = 227 )

82. 1312302 ( Permutation = 230 )

83. 1312320 ( Permutation = 231 )

84. 1313202 ( Permutation = 233 )

85. 1320123 ( Permutation = 235 )

86. 1320132 ( Permutation = 236 )

87. 1320213 ( Permutation = 237 )

88. 1320231 ( Permutation = 238 )

89. 1320312 ( Permutation = 239 )

90. 1320321 ( Permutation = 240 )

91. 1321023 ( Permutation = 241 )

92. 1321032 ( Permutation = 242 )

93. 1321203 ( Permutation = 243 )

94. 1321230 ( Permutation = 244 )

95. 1321302 ( Permutation = 245 )

96. 1321320 ( Permutation = 246 )

97. 1323012 ( Permutation = 253 )

98. 1323021 ( Permutation = 254 )

99. 1323102 ( Permutation = 255 )

100. 1323120 ( Permutation = 256 )

101. 1323201 ( Permutation = 257 )

102. 1323210 ( Permutation = 258 )

103. 2012313 ( Permutation = 275 )

104. 2013123 ( Permutation = 277 )

105. 2013132 ( Permutation = 278 )

106. 2013213 ( Permutation = 279 )

107. 2013231 ( Permutation = 280 )

108. 2021313 ( Permutation = 284 )

109. 2023131 ( Permutation = 287 )

110. 2031213 ( Permutation = 291 )

111. 2031231 ( Permutation = 292 )

112. 2031312 ( Permutation = 293 )

113. 2031321 ( Permutation = 294 )

114. 2032131 ( Permutation = 296 )

115. 2101323 ( Permutation = 302 )

116. 2102313 ( Permutation = 305 )

117. 2103123 ( Permutation = 307 )

118. 2103132 ( Permutation = 308 )

119. 2103213 ( Permutation = 309 )

120. 2103231 ( Permutation = 310 )

121. 2120313 ( Permutation = 326 )

122. 2121303 ( Permutation = 329 )

123. 2123013 ( Permutation = 331 )

124. 2123031 ( Permutation = 332 )

125. 2123103 ( Permutation = 333 )

126. 2123130 ( Permutation = 334 )

127. 2130123 ( Permutation = 337 )

128. 2130132 ( Permutation = 338 )

129. 2130213 ( Permutation = 339 )

130. 2130231 ( Permutation = 340 )

131. 2130312 ( Permutation = 341 )

132. 2130321 ( Permutation = 342 )

133. 2131023 ( Permutation = 343 )

134. 2131032 ( Permutation = 344 )

135. 2131203 ( Permutation = 345 )

136. 2131230 ( Permutation = 346 )

137. 2131302 ( Permutation = 347 )

138. 2131320 ( Permutation = 348 )

139. 2132013 ( Permutation = 349 )

140. 2132031 ( Permutation = 350 )

141. 2132103 ( Permutation = 351 )

142. 2132130 ( Permutation = 352 )

143. 2132301 ( Permutation = 353 )

144. 2132310 ( Permutation = 354 )

145. 2301213 ( Permutation = 393 )

146. 2301231 ( Permutation = 394 )

147. 2301312 ( Permutation = 395 )

148. 2301321 ( Permutation = 396 )

149. 2302131 ( Permutation = 398 )

150. 2303121 ( Permutation = 401 )

151. 2310123 ( Permutation = 403 )

152. 2310132 ( Permutation = 404 )

153. 2310213 ( Permutation = 405 )

154. 2310231 ( Permutation = 406 )

155. 2310312 ( Permutation = 407 )

156. 2310321 ( Permutation = 408 )

157. 2312013 ( Permutation = 415 )

158. 2312031 ( Permutation = 416 )

159. 2312103 ( Permutation = 417 )

160. 2312130 ( Permutation = 418 )

161. 2312301 ( Permutation = 419 )

162. 2312310 ( Permutation = 420 )

163. 2313012 ( Permutation = 421 )

164. 2313021 ( Permutation = 422 )

165. 2313102 ( Permutation = 423 )

166. 2313120 ( Permutation = 424 )

167. 2313201 ( Permutation = 425 )

168. 2313210 ( Permutation = 426 )

169. 2320131 ( Permutation = 428 )

170. 2321013 ( Permutation = 430 )

171. 2321031 ( Permutation = 431 )

172. 2321301 ( Permutation = 434 )

173. 2321310 ( Permutation = 435 )

174. 2323101 ( Permutation = 437 )

175. 3012123 ( Permutation = 454 )

176. 3012132 ( Permutation = 455 )

177. 3012312 ( Permutation = 458 )

178. 3012321 ( Permutation = 459 )

179. 3013212 ( Permutation = 461 )

180. 3021213 ( Permutation = 465 )

181. 3021231 ( Permutation = 466 )

182. 3021312 ( Permutation = 467 )

183. 3021321 ( Permutation = 468 )

184. 3023121 ( Permutation = 473 )

185. 3031212 ( Permutation = 476 )

186. 3032121 ( Permutation = 479 )

187. 3101232 ( Permutation = 482 )

188. 3102123 ( Permutation = 484 )

189. 3102132 ( Permutation = 485 )

190. 3102312 ( Permutation = 488 )

191. 3102321 ( Permutation = 489 )

192. 3103212 ( Permutation = 491 )

193. 3120123 ( Permutation = 505 )

194. 3120132 ( Permutation = 506 )

195. 3120213 ( Permutation = 507 )

196. 3120231 ( Permutation = 508 )

197. 3120312 ( Permutation = 509 )

198. 3120321 ( Permutation = 510 )

199. 3121023 ( Permutation = 511 )

200. 3121032 ( Permutation = 512 )

201. 3121203 ( Permutation = 513 )

202. 3121230 ( Permutation = 514 )

203. 3121302 ( Permutation = 515 )

204. 3121320 ( Permutation = 516 )

205. 3123012 ( Permutation = 523 )

206. 3123021 ( Permutation = 524 )

207. 3123102 ( Permutation = 525 )

208. 3123120 ( Permutation = 526 )

209. 3123201 ( Permutation = 527 )

210. 3123210 ( Permutation = 528 )

211. 3130212 ( Permutation = 530 )

212. 3131202 ( Permutation = 533 )

213. 3132012 ( Permutation = 535 )

214. 3132021 ( Permutation = 536 )

215. 3132102 ( Permutation = 537 )

216. 3132120 ( Permutation = 538 )

217. 3201213 ( Permutation = 543 )

218. 3201231 ( Permutation = 544 )

219. 3201312 ( Permutation = 545 )

220. 3201321 ( Permutation = 546 )

221. 3202131 ( Permutation = 548 )

222. 3203121 ( Permutation = 551 )

223. 3210123 ( Permutation = 553 )

224. 3210132 ( Permutation = 554 )

225. 3210213 ( Permutation = 555 )

226. 3210231 ( Permutation = 556 )

227. 3210312 ( Permutation = 557 )

228. 3210321 ( Permutation = 558 )

229. 3212013 ( Permutation = 565 )

230. 3212031 ( Permutation = 566 )

231. 3212103 ( Permutation = 567 )

232. 3212130 ( Permutation = 568 )

233. 3212301 ( Permutation = 569 )

234. 3212310 ( Permutation = 570 )

235. 3213012 ( Permutation = 571 )

236. 3213021 ( Permutation = 572 )

237. 3213102 ( Permutation = 573 )

238. 3213120 ( Permutation = 574 )

239. 3213201 ( Permutation = 575 )

240. 3213210 ( Permutation = 576 )

241. 3230121 ( Permutation = 590 )

242. 3231012 ( Permutation = 592 )

243. 3231021 ( Permutation = 593 )

244. 3231201 ( Permutation = 596 )

245. 3231210 ( Permutation = 597 )

246. 3232101 ( Permutation = 599 )

so the final answer is 246 ways can we seat 3 pairs of siblings in a row of 7 chairs, so that nobody sits next to his or her sibling

Jun 25, 2018