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.

C(n,k)=n!/(k!(n−k)!)

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

To calculate the binomial coefficient, divide n factorial, by the product of k factorial times n minus k factorial.

n (Integer): This is one of the input variables. In the context of the binomial coefficient, ‘n’ usually represents the total number of items or options available.

k (Integer): This is another input variable. In the context of the binomial coefficient, ‘k’ typically represents the number of items to be chosen or selected from ‘n’.

Binomial Coefficient Definition

A binomial coefficient is the total number of combinations that can be made from any 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.

FAQ

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.

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