Problem 322
Binomial coefficients divisible by 10

Let T(m, n) be the number of the binomial coefficients iCn that are divisible by 10 for n ≤i <m(i, m and n are positive integers).
You are given that T(109, 107-10) = 989697000.

Find T(1018, 1012-10).

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