# PERMUTATIONA function

The PERMUTATIONA function returns the number of permutations for selecting a group of objects (with replacement) from a total number of objects. Mathematically, it is equivalent to raising the total number of objects to the number of objects being chosen.

## Parts of a PERMUTATIONA function

`PERMUTATIONA(number, number_chosen)`

 Part Description `number` Required. The total number of objects to choose from. `number_chosen` Required. The number of objects to choose from number. Must be less than or equal to number.

## Notes

• Both arguments are truncated to integers.
• If the number is zero, `PERMUTATIONA` returns a #NUM.

## Examples

Result for A1=`PERMUTATIONA(3, 2)`, A2=`PERMUTATIONA(3.2, 2)`, A3= `PERMUTATIONA(3, 2.4)`.

Note: All functions return the same result due to truncation.

 A B 1 PERMUTATIONA Formula 2 99 `=PERMUTATIONA(3, 2)` 3 9 4 9 `=PERMUTATIONA(3.2, 2.3)`

## Related functions

• PERMUT: Returns the number of ways to choose some number of objects from a pool of a given size of objects, considering order.
• COMBIN: The COMBIN function returns the number of ways to choose some number of objects from a pool of a given size of objects.
• COMBINA: The COMBINA function returns the number of ways to choose some number of objects from a pool of a given size of objects, including ways to choose the same object multiple times (also known as choosing with replacement).