Odd numbers have choice

The number of six-digit numbers, all digits of which are odd is _ _ _ _ _ __


The answer is 15625.

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1 solution

Aditya Raut
Jul 13, 2014

There are 5 5 choices for each of the digits ( 1 , 3 , 5 , 7 , 9 ) (1,3,5,7,9) ,

hence by the multiplication rule in combinatorics, there will be 5 6 5^6 different numbers possible, that is 15625 \boxed{15625}

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