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---
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id: 5900f3a11000cf542c50feb4
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challengeType: 5
title: 'Problem 53: Combinatoric selections'
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videoUrl: ''
localeTitle: 'Problema 53: selecciones combinatorias'
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---
## Description
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< section id = "description" > Hay exactamente diez formas de seleccionar tres de cinco, 12345: 123, 124, 125, 134, 135, 145, 234, 235, 245 y 345 En combinatoria, usamos la notación, 5C3 = 10. En general, < p > nCr = n! r! (n − r)! , donde r ≤ n, n! = n × (n − 1) × ... × 3 × 2 × 1, y 0! = 1. < / p > < p > No es hasta n = 23, que un valor excede de un millón: 23C10 = 1144066. ¿Cuántos, no necesariamente distintos, valores de nCr, para 1 ≤ n ≤ 100, son mayores que un millón? < / p > < / section >
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## Instructions
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< section id = "instructions" >
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< / section >
## Tests
< section id = 'tests' >
```yml
tests:
- text: < code > combinatoricSelections(1000)</ code > deben devolver 4626.
testString: 'assert.strictEqual(combinatoricSelections(1000), 4626, "< code > combinatoricSelections(1000)< / code > should return 4626.");'
- text: < code > combinatoricSelections(10000)</ code > deben devolver 4431.
testString: 'assert.strictEqual(combinatoricSelections(10000), 4431, "< code > combinatoricSelections(10000)< / code > should return 4431.");'
- text: < code > combinatoricSelections(100000)</ code > deben devolver 4255.
testString: 'assert.strictEqual(combinatoricSelections(100000), 4255, "< code > combinatoricSelections(100000)< / code > should return 4255.");'
- text: < code > combinatoricSelections(1000000)</ code > deben devolver 4075.
testString: 'assert.strictEqual(combinatoricSelections(1000000), 4075, "< code > combinatoricSelections(1000000)< / code > should return 4075.");'
```
< / section >
## Challenge Seed
< section id = 'challengeSeed' >
< div id = 'js-seed' >
```js
function combinatoricSelections(limit) {
// Good luck!
return 1;
}
combinatoricSelections(1000000);
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```
< / div >
< / section >
## Solution
< section id = 'solution' >
```js
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// solution required
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```
< / section >