2018-09-30 22:01:58 +00:00
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---
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id: 5900f4af1000cf542c50ffc1
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title: 'Problem 322: Binomial coefficients divisible by 10'
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2020-11-27 18:02:05 +00:00
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challengeType: 5
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2019-08-05 16:17:33 +00:00
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forumTopicId: 301979
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2021-01-13 02:31:00 +00:00
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dashedName: problem-322-binomial-coefficients-divisible-by-10
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2018-09-30 22:01:58 +00:00
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---
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2020-11-27 18:02:05 +00:00
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# --description--
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2018-09-30 22:01:58 +00:00
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2020-11-27 18:02:05 +00:00
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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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2018-09-30 22:01:58 +00:00
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2020-11-27 18:02:05 +00:00
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You are given that T(109, 107-10) = 989697000.
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2018-09-30 22:01:58 +00:00
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2020-11-27 18:02:05 +00:00
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Find T(1018, 1012-10).
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2018-09-30 22:01:58 +00:00
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2020-11-27 18:02:05 +00:00
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# --hints--
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2018-09-30 22:01:58 +00:00
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2020-11-27 18:02:05 +00:00
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`euler322()` should return 999998760323314000.
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2018-09-30 22:01:58 +00:00
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2020-11-27 18:02:05 +00:00
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```js
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assert.strictEqual(euler322(), 999998760323314000);
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2018-09-30 22:01:58 +00:00
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```
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2020-11-27 18:02:05 +00:00
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# --seed--
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2018-09-30 22:01:58 +00:00
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2020-11-27 18:02:05 +00:00
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## --seed-contents--
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2018-09-30 22:01:58 +00:00
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```js
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function euler322() {
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2020-09-15 16:57:40 +00:00
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2018-09-30 22:01:58 +00:00
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return true;
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}
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euler322();
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```
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2020-11-27 18:02:05 +00:00
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# --solutions--
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2018-09-30 22:01:58 +00:00
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```js
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// solution required
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```
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