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The Excel PERMUT Function

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Permutations

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

The number of possible permutations of is given by the formula:

Permutations Equation

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

Further information can be found on the Wikipedia Permutation page

Basic Description

The Excel PERMUT function calculates the number of permutations of a specified number of objects from a set of objects.

The format of the function is :

PERMUT( number, number_chosen )

Where the function arguments are:

number - The total number of objects available
number_chosen - The number of objects in each permutation (i.e. the number selected from the total set)


 Formulas:
Examples of use of the Excel Permut Function
 Results:
Excel Permut Function Results

Permut Function Examples

The spreadsheet on the right shows several examples of the Excel Permut function used to show the number of permutations of six objects, selected from different sized object sets.

The format of the functions are shown in the top spreadsheet and the resulting values are shown in the spreadsheet below.


Further examples of the Excel Permut function can be found on the Microsoft Office website.


Trouble Shooting

If you get an error from the Excel Permut Function, this is likely to be one of the following:

Common Errors
#NUM! -
Occurs if either:
- the supplied number ≤ 0
or
- the supplied number_chosen < 0
or
- the supplied number < number_chosen
#VALUE! - Occurs if either the number or the number_chosen argument is non-numeric




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