id	title	challengeType	forumTopicId	dashedName
5900f4af1000cf542c50ffc1	Problem 322: Binomial coefficients divisible by 10	5	301979	problem-322-binomial-coefficients-divisible-by-10

--description--

Let T(m, n) be the number of the binomial coefficients {}^iC_n that are divisible by 10 for n ≤ i < m (i, m and n are positive integers).

You are given that T({10}^9, {10}^7 - 10) = 989\\,697\\,000.

Find T({10}^{18}, {10}^{12} - 10).

--hints--

binomialCoefficientsDivisibleBy10() should return 999998760323314000.

assert.strictEqual(binomialCoefficientsDivisibleBy10(), 999998760323314000);

function binomialCoefficientsDivisibleBy10() {

  return true;
}

binomialCoefficientsDivisibleBy10();

// solution required