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Problem 322


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).


能被10整除的二项式系数

记T(m, n)是所有能被10整除的二项式系数iCn的数目,其中n ≤ i < m(i、m、n均为正整数)。
已知T(109, 107-10) = 989697000。

求T(1018, 1012-10)。