47 lines
		
	
	
		
			812 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			47 lines
		
	
	
		
			812 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| ---
 | |
| 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--
 | |
| 
 | |
| `euler181()` should return 83735848679360670.
 | |
| 
 | |
| ```js
 | |
| assert.strictEqual(euler181(), 83735848679360670);
 | |
| ```
 | |
| 
 | |
| # --seed--
 | |
| 
 | |
| ## --seed-contents--
 | |
| 
 | |
| ```js
 | |
| function euler181() {
 | |
| 
 | |
|   return true;
 | |
| }
 | |
| 
 | |
| euler181();
 | |
| ```
 | |
| 
 | |
| # --solutions--
 | |
| 
 | |
| ```js
 | |
| // solution required
 | |
| ```
 |