Combination Calculator

(also known as "n choose r" or binomial coefficient)






Combinatorial Formula (taking r at a time)

C(n,r) =

n! /r!(n − r)!

Combinatorial Sample Problem

Chase has a 12 different colored marbles and he is going to take 3 of them, how many combinations exist given the scenario?

Using the formula:
C(n,r) =

12! /3!(12 − 3)!

The answer is: 220, which means there are 220 different combinations for this problem.


Free Online Calculator

We provide quick reference calculators with explanations of how to calculate formula's. Please feel free to contact us with questions or suggestions. We hope you find our site useful.