Combination Calculator

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


n=

r=

  

Solution


C(n,r)=


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.


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