Multinomial Coefficient Calculator

This calculator determines the multinomial coefficient based on the total number of objects and group sizes.

Comma or space separated.

How to Use the Multinomial Coefficient Calculator?

  1. First, input the total number of objects (n).
  2. Enter the comma or space separated group sizes (k). For example: 2,5,3 or 2 5 3.
  3. Make sure the sum of group sizes (k) is equal to the total objects (n). If the total number of objects is 12, the group size should be 5,3,4 (5+3+4 = 12).
  4. Press the 'Calculate' button.
  5. As a result, the tool computes and shows the multinomial coefficient associated with the given values.

How to Calculate?

The multinomial coefficient is calculated using the following formula:

Multinomial Coefficient =  
n!
(k1! × k2! × ... × kj!)