## Purpose

## Return value

## Arguments

*number*- The total number of items.*number_chosen*- The number of items in each combination.

## Syntax

## Usage notes

The Excel PERMUTATIONA function returns the number of permutations (combinations where order is significant) for a given number of items. The PERMUTATIONA function *allows* repetitions. To calculate the number of permutations *without* repetitions, use the PERMUT function.

A permutation is a combination where order matters. In other words, a permutation is an *ordered* combination. There are two types of permutations:

- Permutations where repetition
*is not*allowed (i.e. 123) - Permutations where repetition
*is*allowed (i.e. 333)

The PERMUTATIONA function calculates permutations where repetitions *are *allowed. To calculate permutations where repetitions are *not* allowed, use the PERMUT function.

### Example

To use PERMUTATIONA, specify the total number of items and "*number_chosen*", which represents the number of items in each combination. For -example, to calculate 3-number permutations for the numbers 0-9, there are 10 numbers and 3 chosen, so the formula is:

```
=PERMUTATIONA(10,3) // returns 1000
```

You can see this result in cell D8 in the example shown.

### Notes

- A permutation is a group of items in which order/sequence
*matters*. - If order is not significant, see the COMBIN function.
- Arguments that contain decimal values are truncated to integers.
- PERMUTATIONA returns a #VALUE! error value if either argument is not numeric.