# The Excel MULTINOMIAL Function

## Basic Description

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

I.e.

The format of the Multinomial function is:

MULTINOMIAL( number1, number2, ... )

where the supplied number arguments are the integer values (or ranges of cells containing integer values) for which you want to calculate the multinomial. If any of the supplied values are decimals, these are truncated to integers.

Note that, in Excel 2007 and later versions of Excel, you can supply up to 255 values to the Multinomial function, but in Excel 2003, you can only supply up to 29 values.

## Multinomial Function Example

Cell B1 of the spreadsheet below shows an the Excel Multinomial Function, used to calculate the multinomial of the values 3, 1, 2 and 5, in column A of the spreadsheet.

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

Further information and examples of the Excel Multinomial function can be found 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 arguments are less than 0 #VALUE! - Occurs if any of the supplied arguments are non-numeric #NAME? - Occurs when Analysis ToolPak add-in is not enabled in your Excel. You will need to enable the add-in if you want to use the Excel Multinomial function.