Binomial coefficients divisible by 10

Problem 322

Published on 30 January 2011 at 04:00 am [Server Time]

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).

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