Problem 322

Binomial coefficients divisible by 10

Let T(`m`, `n`) be the number of the binomial coefficients ^{i}C_{n} that are divisible by 10 for `n` `i` `m`(`i`, `m` and `n` are positive integers).

You are given that T(10^{9}, 10^{7}-10) = 989697000.

Find T(10^{18}, 10^{12}-10).

**
These problems are part of
Project Euler
and are licensed under
CC BY-NC-SA 2.0 UK
**