63 lines
1.1 KiB
Markdown
63 lines
1.1 KiB
Markdown
---
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id: 5900f45c1000cf542c50ff6e
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challengeType: 5
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title: 'Problem 239: Twenty-two Foolish Primes'
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forumTopicId: 301884
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---
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## Description
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<section id='description'>
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A set of disks numbered 1 through 100 are placed in a line in random order.
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What is the probability that we have a partial derangement such that exactly 22 prime number discs are found away from their natural positions?
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(Any number of non-prime disks may also be found in or out of their natural positions.)
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Give your answer rounded to 12 places behind the decimal point in the form 0.abcdefghijkl.
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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>euler239()</code> should return 0.001887854841.
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testString: assert.strictEqual(euler239(), 0.001887854841);
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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 euler239() {
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// Good luck!
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return true;
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}
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euler239();
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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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