Permutation Function

Permutation

The number of permutations for a given number of objects is the number of combinations in each possible order.

Note that permutations differ from combinations in that, for a permutation, the order of the objects matters, but in a combination, the order does not matter.

The number of possible permutations is given by the formula:

where k is the number of objects chosen and n is the number of possible objects.

Permutation Function

The Excel PERMUT function returns the number of permutations (combinations where order is significant) of a given number of items. To use PERMUT, specify the total number of items and "number chosen", which represents the number of items in each combination.

Syntax

The syntax for the PERMUT function in Microsoft Excel is:

=PERMUT( number, chosen )

Parameters or Arguments

number

The number of items.

chosen

The number of items in each permutation.

Permut Function Examples

In the following spreadsheet, the Excel Permut function is used to calculate the number of permutations of six objects, selected from different sized sets:

Formulas:

	A
1	=PERMUT( 6, 6 )
2	=PERMUT( 7, 6 )
3	=PERMUT( 10, 6 )
4	=PERMUT( 49, 6 )

Results:

	A
1	720
2	5,040
3	151,200
4	10,068,347,520

Notes 

·         A permutation is a group of items in which order/sequence matters.

·         If order is not significant, use 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.

References

https://www.techonthenet.com/excel/formulas/permut.php

http://www.excelfunctions.net/Excel-Permut-Function.html

https://exceljet.net/excel-functions/excel-permut-function

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