Binomial Coefficients Online Calculator


The binomial theorem states that an expression of the form (a x + b y) n may be expanded as follows.

(ax + by)
n = (ax) n + n (ax) n - 1 (by) + ... + n C r (ax) n - r (by) r+ ... + (by) n

where a and b are coefficients, n is a positive integer.

The general coefficient n
C r is given by

n
C r = n! / [(n - r)! r!]

How to use the calculator

1 - Enter coefficients a and b and n as a positive integer then press "enter".

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