About this combination calculator
Combinations count selections where order does not matter: C(n, r) = n! ÷ (r! (n − r)!). Choosing 3 of 10 gives 120. Permutations count ordered arrangements: P(n, r) = n! ÷ (n − r)! = 720. The calculator uses exact integer arithmetic, so big results like C(52, 5) = 2,598,960 are not rounded.