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How many distinguishable ways are there to write 9 as the sum of  1's, 3's  and 4's, where the order of the addends matters? For example, 1 + 3 + 4 + 1 and 4 + 1 + 3 + 1 are two different ways.

 Oct 17, 2020
 #1
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1134  1143  1224  1233  1242  1314  1323  1332  1341  1413  1422  1431  2124  2133  2142  2214  2223  2232  2241  2313  2322  2331  2412  2421  3114  3123  3132  3141  3213  3222  3231  3312  3321  3411  4113  4122  4131  4212  4221  4311  Total =  40 such numbers

 
 Oct 17, 2020
edited by Guest  Oct 17, 2020
 #2
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Sorry, I thought 2 was included!!

 

1134  1143  1314  1341  1413  1431  3114  3141  3411  4113  4131  4311  Total =  12 ways

 
Guest Oct 17, 2020

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