Using the digits $1,2,3,4,5,6$ as many times as you wish, how many $3$ digits numbers can you make that are divisible by $5$ ?

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Answer 1 · 2016-06-11T12:52:25

36

There are $6$ possible choices for the first digit, then $6$ choices for the second digit. The third digit must be $5$ .

So the total number of choices is:

$6 xx 6 xx 1 = 36$

Using the digits 1,2,3,4,5,61,2,3,4,5,6 as many times as you wish, how many 33 digits numbers can you make that are divisible by 55 ?