A multinomial coefficient describes the number of possible partitions of n objects into k groups of size n₁, n₂, …, n_k.

The formula to calculate a multinomial coefficient is:

Multinomial Coefficient = n! / (n₁! * n₂! * … * n_k!)

To calculate a multinomial coefficient, simply fill in the values below and then click the “Calculate” button.

n (total objects)

k (group sizes)

Multinomial coefficient: 2,520