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30-seconds-of-code/snippets/cartesianProduct.md
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---
title: Cartesian product
tags: math,array
author: maciv
cover: blog_images/sail-away.jpg
firstSeen: 2020-12-28T20:23:47+02:00
lastUpdated: 2020-12-29T12:31:43+02:00
---
Calculates the cartesian product of two arrays.
- Use `Array.prototype.reduce()`, `Array.prototype.map()` and the spread operator (`...`) to generate all possible element pairs from the two arrays.
```js
const cartesianProduct = (a, b) =>
a.reduce((p, x) => [...p, ...b.map(y => [x, y])], []);
```
```js
cartesianProduct(['x', 'y'], [1, 2]);
// [['x', 1], ['x', 2], ['y', 1], ['y', 2]]
```