data/problems/322.yml
---
:id: 322
:name: Binomial coefficients divisible by 10
:url: https://projecteuler.net/problem=322
:content: "Let T(<var>m</var>, <var>n</var>) be the number of the binomial coefficients
<sup><var>i</var></sup>C<sub><var>n</var></sub> that are divisible by 10 for <var>n</var>
≤ <var>i</var> \\< <var>m</var>(<var>i</var>, <var>m</var> and <var>n</var> are
positive integers). \nYou are given that T(10<sup>9</sup>, 10<sup>7</sup>-10) =
989697000.\n\nFind T(10<sup>18</sup>, 10<sup>12</sup>-10).\n\n"