# calculation of binomial coefficients

A binomial coefficient calculator that allows you to calculate a binomial coefficient from two integers.
binomial_coefficient(5;3), returns 10

### Binomial coefficient, online calculus

#### Summary :

A binomial coefficient calculator that allows you to calculate a binomial coefficient from two integers.

## Definition of the binomial coefficient

In mathematics, the binomial coefficient of two integers n and k is the number (n!)/(k!(n-k)!, with k<=n. This number can be noted ((n),(k)) or C_n^k.

## Binomial Coefficient Calculator

The binomial coefficient calculator allows you to calculate a binomial coefficient from two integers. To calculate the binomial coefficient of two numbers n and k, the calculator uses the following formula: (n!)/(k!(n-k)!. The steps of the calculation are specified.

For example, to calculate the binomial coefficient of the following two integers 5 and 3, simply enter binomial_coefficient(5;3), and the calculator returns the result, which is 10.

The binomial coefficients intervene in particular in the expansion of algebraic expression with Newton's binomial formula or in probability with combinatorics or combinations. One of the specific features of the binomial coefficients calculator is to indicate the different calculation steps that allow to find the result.

#### Syntax :

binomial_coefficient(n;k), n and k are integers.

#### Examples :

binomial_coefficient(5;3), returns 10