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30-seconds-of-code/snippets/powerset.md
2022-05-14 15:55:07 +03:00

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---
title: Powerset
tags: math,algorithm
expertise: beginner
cover: blog_images/new-plant.jpg
firstSeen: 2017-12-07T14:41:33+02:00
lastUpdated: 2021-09-27T15:27:07+02:00
---
Returns the powerset of a given array of numbers.
- Use `Array.prototype.reduce()` combined with `Array.prototype.map()` to iterate over elements and combine into an array containing all combinations.
```js
const powerset = arr =>
arr.reduce((a, v) => a.concat(a.map(r => r.concat(v))), [[]]);
```
```js
powerset([1, 2]); // [[], [1], [2], [1, 2]]
```