This article describes the formula syntax and usage of the PERMUTATIONA function (function: A prewritten formula that takes a value or values, performs an operation, and returns a value or values. Use functions to simplify and shorten formulas on a worksheet, especially those that perform lengthy or complex calculations.) in Microsoft Excel.


Returns the number of permutations for a given number of objects (with repetitions) that can be selected from the total objects.


PERMUTATIONA(number, number-chosen)

The PERMUTATIONA function syntax has the following arguments:

  • Number    Required. An integer that describes the total number of objects.
  • Number_chosen    Required. An integer that describes the number of objects in each permutation.

PERMUTATIONA uses the following equation:



  • Both arguments are truncated to integers.
  • If numeric arguments are values that are not valid, for example, when the total number is zero (0) and the chosen number is larger than zero (0), PERMUTATIONA returns the #NUM! error value.
  • If numeric arguments use data types that are nonnumeric, PERMUTATIONA returns the #VALUE! error value.


The workbook below shows examples of this function. Inspect them, change existing formulas, or enter your own formulas to learn how the function works.

To work more in-depth with the example data in Excel, download the embedded workbook to your computer, and then open it in Excel.

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Applies to:
Excel 2013, Excel Online