Nothing is impossible

Find the number of all 5 5 -digit numbers (in base 10 10 ) each of which contains the block 15 15 and is divisible by 15 15 .

( F o r For e x a m p l e example : 31545 31545 and 34155 34155 are two such numbers.)

A question from RMO.


The answer is 479.

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1 solution

Akshat Sharda
Jul 12, 2015

Ignore some lines as they got repeated.

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