Binomial coefficients divisible by 10
Problem 322Published on Sunday, 30th January 2011, 04:00 am; Solved by 300; Difficulty rating: 70%
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).