binomial_coefficient

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Fabian Kindermann edited this page Apr 1, 2021 · 10 revisions

function binomial_coefficient(n, k)

Description:

Calculates the binomial coefficient

$\begin{pmatrix}n\\ k\end{pmatrix} = \frac{n!}{k^!\cdot(n-k)!}.$$</p><h2><span class=$ Input arguments:

integer :: nTotal number of elements. Note that this input parameter can not be negative.
integer :: kSize of the subset of elements to draw without replacement. Note that needs to be an element of $\{0, 1, \ldots, n\}$ .

Return Value:

real*8 :: binomial_coefficient The value of the binomial coefficient. Note that we use a real*8 number, as it has the larger range than an integer. If necessary, you can convert the number back into integer using the intrinsic Fortran function int.

References

For further reading refer to:
- Toral, R. & Colet, P. (2014). Stochastic Numerical Methods: An Introduction for Students and Scientists. Weinheim: Wiley.

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