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								id: 5900f4af1000cf542c50ffc1
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											2021-02-06 04:42:36 +00:00
										 
									 
								 
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								title: 'Problem 322: Binomial coefficients divisible by 10'
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								challengeType: 5
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											2021-02-06 04:42:36 +00:00
										 
									 
								 
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								forumTopicId: 301979
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											2021-01-13 03:31:00 +01:00
										 
									 
								 
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								dashedName: problem-322-binomial-coefficients-divisible-by-10
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											2020-12-16 00:37:30 -07:00
										 
									 
								 
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								# --description--
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								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).
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								You are given that T(109, 107-10) = 989697000.
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								Find T(1018, 1012-10).
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								# --hints--
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								`euler322()` should return 999998760323314000.
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								```js
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								assert.strictEqual(euler322(), 999998760323314000);
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								```
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								# --seed--
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								## --seed-contents--
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								```js
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								function euler322() {
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								  return true;
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								}
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								euler322();
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								```
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								# --solutions--
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								```js
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								// solution required
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								```
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