49 lines
		
	
	
		
			790 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			49 lines
		
	
	
		
			790 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
|   | --- | ||
|  | id: 5900f45d1000cf542c50ff6f | ||
|  | title: 'Problem 240: Top Dice' | ||
|  | challengeType: 5 | ||
|  | forumTopicId: 301887 | ||
|  | dashedName: problem-240-top-dice | ||
|  | --- | ||
|  | 
 | ||
|  | # --description--
 | ||
|  | 
 | ||
|  | There are 1111 ways in which five 6-sided dice (sides numbered 1 to 6) can be rolled so that the top three sum to 15. Some examples are: | ||
|  | 
 | ||
|  | D1,D2,D3,D4,D5 = 4,3,6,3,5 | ||
|  | 
 | ||
|  | D1,D2,D3,D4,D5 = 4,3,3,5,6 | ||
|  | 
 | ||
|  | D1,D2,D3,D4,D5 = 3,3,3,6,6 | ||
|  | 
 | ||
|  | D1,D2,D3,D4,D5 = 6,6,3,3,3 | ||
|  | 
 | ||
|  | In how many ways can twenty 12-sided dice (sides numbered 1 to 12) be rolled so that the top ten sum to 70? | ||
|  | 
 | ||
|  | # --hints--
 | ||
|  | 
 | ||
|  | `euler240()` should return 7448717393364182000. | ||
|  | 
 | ||
|  | ```js | ||
|  | assert.strictEqual(euler240(), 7448717393364182000); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --seed--
 | ||
|  | 
 | ||
|  | ## --seed-contents--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | function euler240() { | ||
|  | 
 | ||
|  |   return true; | ||
|  | } | ||
|  | 
 | ||
|  | euler240(); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --solutions--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | // solution required | ||
|  | ``` |