{n \choose k} - LaTeX Symbol

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(k n)

{n \choose k}

The binomial coefficient, denoted as {n \choose k}, represents 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.

{5 \choose 2} = 10

(0 n) = 1

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

{n \choose 0} = 1

(3 7) = 35

Choosing 3 elements from a set of 7 elements.

{7 \choose 3} = 35