---
id: 5900f4231000cf542c50ff34
challengeType: 5
title: '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?
## Instructions
## Tests
```yml
tests:
- text: euler181() should return 83735848679360670.
testString: assert.strictEqual(euler181(), 83735848679360670);
```
## Challenge Seed
```js
function euler181() {
// Good luck!
return true;
}
euler181();
```