Binomial coefficients divisible by 10
Problem 322
Published on Sunday, 30th January 2011, 04:00 am; Solved by 294
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).