60 lines
1.1 KiB
Markdown
60 lines
1.1 KiB
Markdown
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---
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id: 5900f4de1000cf542c50fff0
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challengeType: 5
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title: 'Problem 369: Badugi'
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---
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## Description
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<section id='description'>
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In a standard 52 card deck of playing cards, a set of 4 cards is a Badugi if it contains 4 cards with no pairs and no two cards of the same suit.
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Let f(n) be the number of ways to choose n cards with a 4 card subset that is a Badugi. For example, there are 2598960 ways to choose five cards from a standard 52 card deck, of which 514800 contain a 4 card subset that is a Badugi, so f(5) = 514800.
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Find ∑f(n) for 4 ≤ n ≤ 13.
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</section>
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## Instructions
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<section id='instructions'>
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>euler369()</code> should return 862400558448.
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testString: 'assert.strictEqual(euler369(), 862400558448, ''<code>euler369()</code> should return 862400558448.'');'
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler369() {
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// Good luck!
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return true;
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}
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euler369();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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