Binomial Coefficients
Numbers written in any of the ways shown below. Each notation
is read aloud "n choose r."

A binomial coefficient
equals the number of combinations of r items
that can be selected from a set of n items.
It also represents an entry in Pascal's
triangle.
These numbers are called binomial coefficients because
they are coefficients in the binomial
theorem.
See
also
Factorial, binomial
coefficients in Pascal's triangle, combination
formula,
permutations
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