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freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-181-investigating-in-how-many-ways-objects-of-two-different-colours-can-be-grouped.md
gikf 5a52c229f5 fix(curriculum): clean-up Project Euler 181-200 (#42819)
* fix: clean-up Project Euler 181-200

* fix: corrections from review

Co-authored-by: Tom <20648924+moT01@users.noreply.github.com>

* fix: missing delimiter

Co-authored-by: Tom <20648924+moT01@users.noreply.github.com>
2021-07-15 15:52:14 +02:00

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---
id: 5900f4231000cf542c50ff34
title: >-
Problem 181: Investigating in how many ways objects of two different colours
can be grouped
challengeType: 5
forumTopicId: 301817
dashedName: >-
problem-181-investigating-in-how-many-ways-objects-of-two-different-colours-can-be-grouped
---
# --description--
Having three black objects $B$ and one white object $W$ they can be grouped in 7 ways like this:
$$(BBBW)\\;(B,BBW)\\;(B,B,BW)\\;(B,B,B,W)\\;(B,BB,W)\\;(BBB,W)\\;(BB,BW)$$
In how many ways can sixty black objects $B$ and forty white objects $W$ be thus grouped?
# --hints--
`colorsGrouping()` should return `83735848679360670`.
```js
assert.strictEqual(colorsGrouping(), 83735848679360670);
```
# --seed--
## --seed-contents--
```js
function colorsGrouping() {
return true;
}
colorsGrouping();
```
# --solutions--
```js
// solution required
```