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
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.
Here is the list of exercises that use this function for their solution : .
binomial_coefficient(n;k), n and k are integers.
binomial_coefficient(5;3), returns 10
Calculate online with binomial_coefficient (calculation of binomial coefficients)