43 lines
		
	
	
		
			698 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			43 lines
		
	
	
		
			698 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
|   | --- | ||
|  | id: 5900f4af1000cf542c50ffc1 | ||
|  | title: 'Problem 322: Binomial coefficients divisible by 10' | ||
|  | challengeType: 5 | ||
|  | forumTopicId: 301979 | ||
|  | dashedName: problem-322-binomial-coefficients-divisible-by-10 | ||
|  | --- | ||
|  | 
 | ||
|  | # --description--
 | ||
|  | 
 | ||
|  | Let T(m, n) be the number of the binomial coefficients iCn that are divisible by 10 for n ≤ i < m(i, m and n are positive integers). | ||
|  | 
 | ||
|  | You are given that T(109, 107-10) = 989697000. | ||
|  | 
 | ||
|  | Find T(1018, 1012-10). | ||
|  | 
 | ||
|  | # --hints--
 | ||
|  | 
 | ||
|  | `euler322()` should return 999998760323314000. | ||
|  | 
 | ||
|  | ```js | ||
|  | assert.strictEqual(euler322(), 999998760323314000); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --seed--
 | ||
|  | 
 | ||
|  | ## --seed-contents--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | function euler322() { | ||
|  | 
 | ||
|  |   return true; | ||
|  | } | ||
|  | 
 | ||
|  | euler322(); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --solutions--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | // solution required | ||
|  | ``` |