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freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-20-factorial-digit-sum.english.md
Sanket Kogekar 1a87f1f7c0 add: solution to project euler problem 20 (#38257)
* add: solution to project euler problem 20

* Update curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-20-factorial-digit-sum.english.md

Accidentally added last line. Calling function is unnecessary in solution.

Co-Authored-By: Oliver Eyton-Williams <ojeytonwilliams@gmail.com>

* right place for starting braces

Co-Authored-By: Manish Giri <manish.giri.me@gmail.com>

* moved starting brace to previous line.

Co-Authored-By: Manish Giri <manish.giri.me@gmail.com>

Co-authored-by: Oliver Eyton-Williams <ojeytonwilliams@gmail.com>
Co-authored-by: Manish Giri <manish.giri.me@gmail.com>
2020-02-26 14:22:40 -05:00

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---
id: 5900f3801000cf542c50fe93
challengeType: 5
title: 'Problem 20: Factorial digit sum'
forumTopicId: 301839
---
## Description
<section id='description'>
<var>n</var>! means <var>n</var> × (<var>n</var> 1) × ... × 3 × 2 × 1
For example, 10! = 10 × 9 × ... × 3 × 2 × 1 = 3628800,<br>and the sum of the digits in the number 10! is 3 + 6 + 2 + 8 + 8 + 0 + 0 = 27.
Find the sum of the digits <var>n</var>!
</section>
## Instructions
<section id='instructions'>
</section>
## Tests
<section id='tests'>
```yml
tests:
- text: <code>sumFactorialDigits(10)</code> should return 27.
testString: assert.strictEqual(sumFactorialDigits(10), 27);
- text: <code>sumFactorialDigits(25)</code> should return 72.
testString: assert.strictEqual(sumFactorialDigits(25), 72);
- text: <code>sumFactorialDigits(50)</code> should return 216.
testString: assert.strictEqual(sumFactorialDigits(50), 216);
- text: <code>sumFactorialDigits(75)</code> should return 432.
testString: assert.strictEqual(sumFactorialDigits(75), 432);
- text: <code>sumFactorialDigits(100)</code> should return 648.
testString: assert.strictEqual(sumFactorialDigits(100), 648);
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
function sumFactorialDigits(n) {
// Good luck!
return n;
}
sumFactorialDigits(100);
```
</div>
</section>
## Solution
<section id='solution'>
```js
let factorial = (n) => n <= 1 ? BigInt(n) : BigInt(n) * BigInt(factorial(--n));
let sumDigits = n => n.toString().split('').map(x => parseInt(x)).reduce((a,b) => a + b);
function sumFactorialDigits(n) {
return sumDigits(factorial(n));
}
```
</section>