MATLAB Function Reference |

Binomial coefficient or all combinations

**Syntax**

**Description**

```
C = nchoosek(n,k)
```

where `n`

and `k`

are nonnegative integers, returns . This is the number of combinations of things taken at a time.

```
C = nchoosek(v,k),
```

where `v`

is a row vector of length `n`

, creates a matrix whose rows consist of all possible combinations of the elements of `v`

taken at a time. Matrix `C`

contains rows and columns.

**Examples**

The command `nchoosek(2:2:10,4) `

returns the even numbers from two to ten, taken four at a time:

**Limitations**

This function is only practical for situations where `n`

is less than about 15.

**See Also**

nargoutchk | ndgrid |