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The product of the digits of 3214 is 24. How many distinct four-digit positive integers are there such that the product of their digits equals 18?

 Nov 28, 2020
 #1
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1129  1136  1163  1192  1219  1233  1291  1316  1323  1332  1361  1613  1631  1912  1921  2119  2133  2191  2313  2331  2911  3116  3123  3132  3161  3213  3231  3312  3321  3611  6113  6131  6311  9112  9121  9211  Total =  36 such numbers.

 Nov 28, 2020
 #2
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"Distinct 4-digit numbers". I think you only have: 1129, 1136, 1233. The other 33 listed above are simply "permutations" on these 3 "distinct combinations".

Guest Nov 28, 2020

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