freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-365-a-huge-binomial-coefficient.md

---
id: 5900f4da1000cf542c50ffec
title: 'Problem 365: A huge binomial coefficient'
challengeType: 5
forumTopicId: 302026
dashedName: problem-365-a-huge-binomial-coefficient
---

# --description--

The binomial coefficient C(1018,109) is a number with more than 9 billion (9×109) digits.

Let M(n,k,m) denote the binomial coefficient C(n,k) modulo m.

Calculate ∑M(1018,109,p*q*r) for 1000&lt;p&lt;q&lt;r&lt;5000 and p,q,r prime.

# --hints--

`euler365()` should return 162619462356610300.

```js
assert.strictEqual(euler365(), 162619462356610300);
```

# --seed--

## --seed-contents--

```js
function euler365() {

  return true;
}

euler365();
```

# --solutions--

```js
// solution required
```
-												feat(challenge-md): Add initial markdown challenge files

											
										
										
											2018-09-30 23:01:58 +01:00
+								---
 								id: 5900f4da1000cf542c50ffec
 								title: 'Problem 365: A huge binomial coefficient'
-												Feat: add new Markdown parser (#39800)

and change all the challenges to new `md` format.
											
										
										
											2020-11-27 19:02:05 +01:00
+								challengeType: 5
-												fix(curriculum): Added forumTopicId to remaining 1200 challeng… (#36558)


											
										
										
											2019-08-05 09:17:33 -07:00
+								forumTopicId: 302026
-												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>
											
										
										
											2021-01-13 03:31:00 +01:00
+								dashedName: problem-365-a-huge-binomial-coefficient
-												feat(challenge-md): Add initial markdown challenge files

											
										
										
											2018-09-30 23:01:58 +01:00
+								---
-												Feat: add new Markdown parser (#39800)

and change all the challenges to new `md` format.
											
										
										
											2020-11-27 19:02:05 +01:00
+								# --description--
-												feat(challenge-md): Add initial markdown challenge files

											
										
										
											2018-09-30 23:01:58 +01:00
-												Feat: add new Markdown parser (#39800)

and change all the challenges to new `md` format.
											
										
										
											2020-11-27 19:02:05 +01:00
+								The binomial coefficient C(1018,109) is a number with more than 9 billion (9×109) digits.
-												feat(challenge-md): Add initial markdown challenge files

											
										
										
											2018-09-30 23:01:58 +01:00
 								Let M(n,k,m) denote the binomial coefficient C(n,k) modulo m.
-												Feat: add new Markdown parser (#39800)

and change all the challenges to new `md` format.
											
										
										
											2020-11-27 19:02:05 +01:00
+								Calculate ∑M(1018,109,p*q*r) for 1000&lt;p&lt;q&lt;r&lt;5000 and p,q,r prime.
-												feat(challenge-md): Add initial markdown challenge files

											
										
										
											2018-09-30 23:01:58 +01:00
-												Feat: add new Markdown parser (#39800)

and change all the challenges to new `md` format.
											
										
										
											2020-11-27 19:02:05 +01:00
+								# --hints--
-												feat(challenge-md): Add initial markdown challenge files

											
										
										
											2018-09-30 23:01:58 +01:00
-												Feat: add new Markdown parser (#39800)

and change all the challenges to new `md` format.
											
										
										
											2020-11-27 19:02:05 +01:00
+								`euler365()` should return 162619462356610300.
-												feat(challenge-md): Add initial markdown challenge files

											
										
										
											2018-09-30 23:01:58 +01:00
-												Feat: add new Markdown parser (#39800)

and change all the challenges to new `md` format.
											
										
										
											2020-11-27 19:02:05 +01:00
+								```js
 								assert.strictEqual(euler365(), 162619462356610300);
-												feat(challenge-md): Add initial markdown challenge files

											
										
										
											2018-09-30 23:01:58 +01:00
+								```
-												Feat: add new Markdown parser (#39800)

and change all the challenges to new `md` format.
											
										
										
											2020-11-27 19:02:05 +01:00
+								# --seed--
-												feat(challenge-md): Add initial markdown challenge files

											
										
										
											2018-09-30 23:01:58 +01:00
-												Feat: add new Markdown parser (#39800)

and change all the challenges to new `md` format.
											
										
										
											2020-11-27 19:02:05 +01:00
+								## --seed-contents--
-												feat(challenge-md): Add initial markdown challenge files

											
										
										
											2018-09-30 23:01:58 +01:00
 								```js
 								function euler365() {
-												fix: remove Good luck! comment from challenge seed code (#39575)


											
										
										
											2020-09-15 09:57:40 -07:00
-												feat(challenge-md): Add initial markdown challenge files

											
										
										
											2018-09-30 23:01:58 +01:00
+								  return true;
 								}
 								euler365();
 								```
-												Feat: add new Markdown parser (#39800)

and change all the challenges to new `md` format.
											
										
										
											2020-11-27 19:02:05 +01:00
+								# --solutions--
-												feat(challenge-md): Add initial markdown challenge files

											
										
										
											2018-09-30 23:01:58 +01:00
 								```js
 								// solution required
 								```