calculation of binomial coefficients
Calculation of binomial coefficients : How to use it?
A binomial coefficient calculator that allows you to calculate a binomial coefficient from two integers.
Syntax :
binomial_coefficient(n;k), n and k are integers.
Examples :
binomial_coefficient(5;3), returns 10
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.
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