The Excel MULTINOMIAL Function

Basic Description

The Excel MULTINOMIAL function calculates the ratio of the factorial of a sum of supplied values to the product of factorials of those values.

I.e.

Equation for Multinomial

The format of the Multinomial function is:

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

where the number arguments are one or more integers (or arrays of integers) for which you want to calculate the multinomial.

Note that:


Multinomial Function Example

Cell B1 of the spreadsheet below shows an the Excel Multinomial Function, used to calculate the multinomial of four values that are stored in column A of the spreadsheet.

 ABC
13=MULTINOMIAL( A1:A4 )- returns the value 27,720
21  
32  
45  

The above example shows that the multinomial of the four values 3, 1, 2 and 5 is 27,720.


Further information and examples of the Excel Multinomial function are provided on the Microsoft Office website.


Multinomial Function Errors

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

Common Errors
#NUM!-Occurs if any of the supplied values are less than 0.
#VALUE!-Occurs if any of the supplied values are non-numeric.