Calculators > Discrete Mathematics > Combinations Calculator (nCr)

Combinations Calculator (nCr)

Find the Combinations:
C(n,r) where:
n =
r =

C(1,1) = 1! / 1! (1 - 1)! =
1

Calculate the combinations for C(n,r) = n! / r! (n - r)!. For r <= n, n >= 0, and r >= 0.

Combinations Formula:

C(n,r) = n! / r! (n - r)!

"The number of ways of picking r unordered outcomes from n possibilities." [1]

[1] For more information on combinations and binomial coefficients please see http://mathworld.wolfram.com/Combination.html