mathjs/docs/reference/functions/composition.md

Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser with support for symbolic computation, comes with a large set of built-in functions and constants, and offers an integrated solution to work with dif

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# Function composition

The composition counts of n into k parts.

composition only takes integer arguments.
The following condition must be enforced: k <= n.


## Syntax

```js
math.composition(n, k)
```

### Parameters

Parameter | Type | Description
--------- | ---- | -----------
`n` | Number &#124; BigNumber | Total number of objects in the set
`k` | Number &#124; BigNumber | Number of objects in the subset

### Returns

Type | Description
---- | -----------
Number &#124; BigNumber | Returns the composition counts of n into k parts.


## Examples

```js
math.composition(5, 3) // returns 6
```


## See also

[combinations](combinations.md)