PERMUT function: Description, Usage, Syntax, Examples and Explanation
What is PERMUT function in Excel?
PERMUT function is one of Statistical functions in Microsoft Excel that returns the number of permutations for a given number of objects that can be selected from number objects. A permutation is any set or subset of objects or events where internal order is significant. Permutations are different from combinations, for which the internal order is not significant. Use this function for lottery-style probability calculations.
Syntax of PERMUT function
PERMUT(number, number_chosen)
The PERMUT function syntax has the following arguments:
- Number: An integer that describes the number of objects.
- Number_chosen: An integer that describes the number of objects in each permutation.
Explanation of PERMUT function
- Both arguments are truncated to integers.
- If number or number_chosen is nonnumeric, PERMUT returns the #VALUE! error value.
- If number ≤ 0 or if number_chosen < 0, PERMUT returns the #NUM! error value.
- If number < number_chosen, PERMUT returns the #NUM! error value.
- The equation for the number of permutations is:
Example of PERMUT function
Steps to follow:
1. Open a new Excel worksheet.
2. Copy data in the following table below and paste it in cell A1
Note: For formulas to show results, select them, press F2 key on your keyboard and then press Enter.
You can adjust the column widths to see all the data, if need be.
| Data | Description | |
| 100 | Number of objects | |
| 3 | Number of objects in each permutation | |
| Formula | Description | Result |
| =PERMUT(A2,A3) | Permutations possible for the arguments specified in A2:A3. | 970200 |
| =PERMUT(3,2) | Permutations possible for a group of 3 objects where 2 are chosen. | 6 |