# Excel PERMUT Function

The Excel PERMUT function returns the number of permutations (combinations where order is significant) for a given number of items. The PERMUT function *does not* allow repetitions. To allow permutations with repetitions, use the PERMUTATIONA function.

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

The PERMUT function returns the number of permutations for a given number of items. 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 PERMUT function calculates permutations where repetitions are not allowed. To calculate permutations where repetitions are allowed, use the PERMUTATIONA function.

### Example

To use PERMUT, 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:

=PERMUT(10,3) // returns 720

This result can be seen 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.
- PERMUT returns a #VALUE! error value if either argument is not numeric.
- PERMUT returns #NUM! if
*number*is less than*number_chosen.*

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