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Maths › Combinatorics › Arithmetic ›

Binomial Coefficient

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Returns the binomial coefficient using the factorial function.

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Interface
Binomial Coefficient
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Interface

C++

Excel

Binomial Coefficient

doublebinomial_coefficient(	int	`n`
	int	`k`	)[inline]

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

n	number of possibilities
k	number of outcomes

Authors

Will Bateman (August 2005)

Source Code

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Page Comments

$bradjb911\′s Photo$

bradjb911

23 Apr 09, 5:28PM

Problem with this Code

Hello, So the code works great unless you want to try something like n choose k, or n choose 0. At which point the program returns undefined or infinite values instead of the answer 1. Simple if loops will fix it or else consider fixing the factorial sub-function itself.

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