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---
id: 5900f3841000cf542c50fe97
challengeType: 5
title: 'Problem 24: Lexicographic permutations'
---
## Description
< section id = 'description' >
A permutation is an ordered arrangement of objects. For example, 3124 is one possible permutation of the digits 1, 2, 3 and 4. If all of the permutations are listed numerically or alphabetically, we call it lexicographic order. The lexicographic permutations of 0, 1 and 2 are:
< div style = 'text-align: center;' > 012 021 102 120 201 210< / div >
What is the < var > n< / var > th lexicographic permutation of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9?
< / section >
## Instructions
< section id = 'instructions' >
< / section >
## Tests
< section id = 'tests' >
```yml
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tests:
- text: < code > lexicographicPermutations(699999)</ code > should return 1938246570.
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testString: 'assert(lexicographicPermutations(699999) == 1938246570, "< code > lexicographicPermutations(699999)< / code > should return 1938246570.");'
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- text: < code > lexicographicPermutations(899999)</ code > should return 2536987410.
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testString: 'assert(lexicographicPermutations(899999) == 2536987410, "< code > lexicographicPermutations(899999)< / code > should return 2536987410.");'
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- text: < code > lexicographicPermutations(900000)</ code > should return 2537014689.
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testString: 'assert(lexicographicPermutations(900000) == 2537014689, "< code > lexicographicPermutations(900000)< / code > should return 2537014689.");'
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- text: < code > lexicographicPermutations(999999)</ code > should return 2783915460.
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testString: 'assert(lexicographicPermutations(999999) == 2783915460, "< code > lexicographicPermutations(999999)< / code > should return 2783915460.");'
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```
< / section >
## Challenge Seed
< section id = 'challengeSeed' >
< div id = 'js-seed' >
```js
function lexicographicPermutations(n) {
// Good luck!
return n;
}
lexicographicPermutations(999999);
```
< / div >
< / section >
## Solution
< section id = 'solution' >
```js
// solution required
```
< / section >