Combination & Permutation Calculator
Compare selections where order does not matter with arrangements where order does matter.
Combinations nCr120
Permutations nPr720
n!3,628,800
How this tool works
nCr=n!/[r!(n−r)!]. nPr=n!/(n−r)!.
Example
Choosing 3 people from 10 gives 120 combinations, while assigning three ordered positions gives 720 permutations.
Common questions
When do I use a combination?
Use combinations when only the selected set matters and order does not.
When do I use a permutation?
Use permutations when different orders of the same selected items count as different outcomes.