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This article describes the formula syntax and usage of the MULTINOMIAL function in Microsoft Excel.


Returns the ratio of the factorial of a sum of values to the product of factorials.


MULTINOMIAL(number1, [number2], ...)

The MULTINOMIAL function syntax has the following arguments:

  • Number1, number2, ...    Number1 is required, subsequent numbers are optional. 1 to 255 values for which you want the multinomial.


  • If any argument is nonnumeric, MULTINOMIAL returns the #VALUE! error value.

  • If any argument is less than zero, MULTINOMIAL returns the #NUM! error value.

  • The multinomial is:



Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.





Ratio of the factorial of the sum of 2,3, and 4 (362880) to the product of the factorials of 2,3, and 4 (288).


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