A problem by Anwar Alzhrani

Level pending

How many numbers less than 10000 so that the product of its digit equal to 210


The answer is 54.

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1 solution

Anwar Alzhrani
Nov 29, 2014

210=2×3×5×7

So that we can writ factors in 3 way

{2,3,5,7} >>> 4!=24

{6,5,7} >>> 3!=6

{6,5,7,1} >>> 4!=24

24+6+24=54

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