Online Calculators > Math Calculators > Combination Calculator

Combination Calculator

Combination Calculator - calculate combination which is how many different ways to choose items where order doesn't matter. Online combination calculator to find number of ways to select r out of n items regardless of the order.

Total # of Items (n) must be greater or equal to the # of Items Chosen (r).

Online Combination Calculator

Total # of Items (n):
# of Items Chosen (r):

Combination Formula

Following is the combination formula on how to calculate combination.
C(n,r) = n!/(r!(n−r)!), where
n! = n*(n-1)!

For example, to calculate C(5,3), we would plugin the numbers to the combination formula
5!/(3!)(5-3)! = (5*4*3*2*1)/3!(2!) = (120)/(3*2*1)*(2*1) = 10

1 combination 0
2 combination 1
3 combination 2
4 combination 2
5 combination 3
6 combination 4
8 combination 1
9 combination 2
10 combination 4
12 combination 4
20 combination 2
30 combination 4

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