Enter the values of n and k from the form C(n, K). The calculator will display the binomial coefficient of n and k.

Binomial Coefficient Formula

The following formula is used to calculate a binomial coefficient of numbers.


  • Where C(n,k) is the binomial coefficient
  • n is an integer
  • k is another integer.

Binomial Coefficient Definition

A binomial coefficient is defined as the total number of combinations that can be made from any given set of integers.

Binomial Coefficient Example

How to calculate a binomial coefficient?

  1. First, determine the first integer.

    Determine the value of one of the integers.

  2. Next, determine the second integer.

    Determine the value of another integer.

  3. Finally, calculate the binomial coefficient.

    Using the formula above, calculate the binomial coefficient.


What is a binomial coefficient?

A binomial coefficient is a term used in math to describe the total number of combinations of options from a given set of integers. So for example, if you have 10 integers and you wanted to choose every combination of 4 of those integers. The total number of combinations would be equal to the binomial coefficient.

binomial coefficient calculator
binomial coefficient formula