mathjs/docs/reference/functions/stirlingS2.md
2015-05-31 14:29:42 +02:00

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# Function stirlingS2
The Stirling numbers of the second kind, counts the number of ways to partition
a set of n labelled objects into k nonempty unlabelled subsets.
stirlingS2 only takes integer arguments.
The following condition must be enforced: k <= n.
If n = k or k = 1, then s(n,k) = 1
## Syntax
```js
math.stirlingS2(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 | S(n,k)
## Examples
```js
math.stirlingS2(5, 3); //returns 25
```
## See also
[Bell numbers](Bell numbers.md)
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