freeCodeCamp/curriculum/challenges/espanol/10-coding-interview-prep/rosetta-code/evaluate-binomial-coefficients.md

id	title	challengeType	forumTopicId	dashedName
598de241872ef8353c58a7a2	Evaluate binomial coefficients	5	302259	evaluate-binomial-coefficients

--description--

Write a function to calculate the binomial coefficient for the given value of n and k.

This formula is recommended:

\\binom{n}{k} = \\frac{n!}{(n-k)!k!} = \\frac{n(n-1)(n-2)\\ldots(n-k+1)}{k(k-1)(k-2)\\ldots 1}

--hints--

binom should be a function.

assert(typeof binom === 'function');

binom(5,3) should return 10.

assert.equal(binom(5, 3), 10);

binom(7,2) should return 21.

assert.equal(binom(7, 2), 21);

binom(10,4) should return 210.

assert.equal(binom(10, 4), 210);

binom(6,1) should return 6.

assert.equal(binom(6, 1), 6);

binom(12,8) should return 495.

assert.equal(binom(12, 8), 495);

--seed--

--seed-contents--

function binom(n, k) {

}

--solutions--

function binom(n, k) {
  let coeff = 1;
  for (let i = n - k + 1; i <= n; i++) coeff *= i;
  for (let i = 1; i <= k; i++) coeff /= i;
  return coeff;
}