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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?

 Jul 10, 2020
 #1
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1134
1143
1223
1232
1314
1322
1341
1413
1431
2123
2132
2213
2231
2312
2321
3114
3122
3141
3212
3221
3411
4113
4131
4311

 

==> 24 numbers
 

 Jul 10, 2020
 #2
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If by "distinct four-digits" you mean "no repeats allowed", then the answer is =0 or none! if you allow repeats as as 1126, then you have a total = 36 such numbers.

 

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

 Jul 10, 2020

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