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Two numbers stacked inside tall brackets, counting selections without order.
Also known as: n choose k, Combination notation, nCr
The binomial coefficient counts how many ways k things can be chosen from n when the order does not matter. Written as two numbers stacked in tall round brackets, and read 'n choose k'.
Denotes the number of ways to choose k items from n distinct items without regard to order.
Contexts: Mathematics
Distinguished from a permutation, which counts ordered selections and is therefore larger by a factor of k factorial.
The values form Pascal's triangle, each entry the sum of the two above it.
Two numerals set one directly above the other, enclosed in a pair of tall curved brackets with no line between them.
The binomial coefficient's closed form is written entirely in factorials, which the exclamation mark denotes.
A binomial coefficient looks like a fraction in brackets but has no dividing line, and is not a division. The missing line is the whole distinction.