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1.8 KiB
1.8 KiB
title, id, localeTitle, challengeType
| title | id | localeTitle | challengeType |
|---|---|---|---|
| Evaluate binomial coefficients | 598de241872ef8353c58a7a2 | 598de241872ef8353c58a7a2 | 5 |
Description
Escribe una función para calcular el coeficiente binomial para el valor dado de n y k.
Se recomienda esta fórmula:
$ \ binom {n} {k} = \ frac {n!} {(Nk)! K!} = \ Frac {n (n-1) (n-2) \ ldots (n-k + 1)} {k (k-1) (k-2) \ ldots 1} $Instructions
Tests
tests:
- text: <code>binom</code> es una función.
testString: 'assert(typeof binom === "function", "<code>binom</code> is a function.");'
- text: ' <code>binom(5,3)</code> debe devolver 10.'
testString: 'assert.equal(binom(5, 3), 10, "<code>binom(5,3)</code> should return 10.");'
- text: ' <code>binom(7,2)</code> debe devolver 21'.
testString: 'assert.equal(binom(7, 2), 21, "<code>binom(7,2)</code> should return 21.");'
- text: ' <code>binom(10,4)</code> debe devolver 210.'
testString: 'assert.equal(binom(10, 4), 210, "<code>binom(10,4)</code> should return 210.");'
- text: ' <code>binom(6,1)</code> debe devolver 6.'
testString: 'assert.equal(binom(6, 1), 6, "<code>binom(6,1)</code> should return 6.");'
- text: ' <code>binom(12,8)</code> debe devolver 495.'
testString: 'assert.equal(binom(12, 8), 495, "<code>binom(12,8)</code> should return 495.");'
Challenge Seed
function binom (n, k) {
// Good luck!
}
Solution
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;
}