CodeCogs

Returns the binomial coefficient using the factorial function.

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Interface

#include <codecogs/maths/combinatorics/arithmetic/binomial_coefficient.h>

using namespace Maths::Combinatorics::Arithmetic;

inline double binomial_coefficient(int n, int k)

The binomial coefficient $\left ( \begin{array}{c}n\\k \end{array} \right )$ is the number of ways to pick k unordered outcomes from n possibilities. This is also known as combination number, $_{n}C_k$ . It is defined as:

$_nC_k \equiv \left ( \begin{array}{c}n\\k \end{array} \right ) \equiv \frac{n!}{k!(n-k)!}$

(1)

Parameters

number of possibilities

number of outcomes

Interactive Calculator

Result –

Binomial_Coefficient

Interface

Parameters