\binom{n}{k} - LaTeX Symbol

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(k n)

\binom{n}{k}

The binomial coefficient, represented as \binom{n}{k}, is a mathematical notation used to denote the number of ways to choose k elements from a set of n elements without regard to the order of selection. It is a fundamental concept in combinatorics and is used in various mathematical calculations, including probability and algebra.

Examples

(2 5) = 10

Choosing 2 elements from a set of 5 elements.

\binom{5}{2} = 10

(0 n) = 1

There is exactly one way to choose 0 elements from a set of n elements.

\binom{n}{0} = 1

(n n) = 1

There is exactly one way to choose all n elements from a set of n elements.

\binom{n}{n} = 1