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freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-231-the-prime-factorisation-of-binomial-coefficients.md
Oliver Eyton-Williams ee1e8abd87 feat(curriculum): restore seed + solution to Chinese (#40683)
* feat(tools): add seed/solution restore script

* chore(curriculum): remove empty sections' markers

* chore(curriculum): add seed + solution to Chinese

* chore: remove old formatter

* fix: update getChallenges

parse translated challenges separately, without reference to the source

* chore(curriculum): add dashedName to English

* chore(curriculum): add dashedName to Chinese

* refactor: remove unused challenge property 'name'

* fix: relax dashedName requirement

* fix: stray tag

Remove stray `pre` tag from challenge file.

Signed-off-by: nhcarrigan <nhcarrigan@gmail.com>

Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
2021-01-12 19:31:00 -07:00

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---
id: 5900f4531000cf542c50ff66
title: 'Problem 231: The prime factorisation of binomial coefficients'
challengeType: 5
forumTopicId: 301875
dashedName: problem-231-the-prime-factorisation-of-binomial-coefficients
---
# --description--
The binomial coefficient 10C3 = 120.
120 = 23 × 3 × 5 = 2 × 2 × 2 × 3 × 5, and 2 + 2 + 2 + 3 + 5 = 14.
So the sum of the terms in the prime factorisation of 10C3 is 14.
Find the sum of the terms in the prime factorisation of 20000000C15000000.
# --hints--
`euler231()` should return 7526965179680.
```js
assert.strictEqual(euler231(), 7526965179680);
```
# --seed--
## --seed-contents--
```js
function euler231() {
return true;
}
euler231();
```
# --solutions--
```js
// solution required
```