The product of the digits of 3214 is 24. How many distinct four-digit positive integers are such that the product of their digits equals 12?
1126 1134 1143 1162 1216 1223 1232 1261 1314 1322 1341 1413 1431 1612 1621 2116 2123 2132 2161 2213 2231 2312 2321 2611 3114 3122 3141 3212 3221 3411 4113 4131 4311 6112 6121 6211 Total = 36
12 =2 x 2 x 4, or:
12 =3 x 4, or:
12 =2 x 6
Note: I don't think that you can have 4 DISTINCT digits whose product = 12. There must be "repeats" !!
