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# Binomial Coefficient

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Returns the binomial coefficient using the factorial function.
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C++
Excel

## Binomial Coefficient

 doublebinomial_coefficient( int n int k )[inline]
The binomial coefficient $\inline&space;&space;\left&space;(&space;\begin{array}{c}n\\k&space;\end{array}&space;\right&space;)$ is the number of ways to pick k unordered outcomes from n possibilities. This is also known as combination number, $\inline&space;&space;_{n}C_k$. It is defined as:
$_nC_k&space;\equiv&space;\left&space;(&space;\begin{array}{c}n\\k&space;\end{array}&space;\right&space;)&space;\equiv&space;\frac{n!}{k!(n-k)!}$

### Parameters

 n number of possibilities k number of outcomes

### Authors

Will Bateman (August 2005)
##### Source Code

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