Permutation
nPr = n! ÷ (n − r)!Use when the order of selected items creates a different arrangement.
Math
Permutation and Combination Calculator
Calculate nPr permutations and nCr combinations quickly and accurately.
Calculator
PERMUTATION & COMBINATION
Count arrangements and selections
Enter n and r to calculate both permutations (nPr) and combinations (nCr).
PERMUTATION · nPr720Order Matters
COMBINATION · nCr120Order Does Not Matter
Permutation vs combination
Combination
nCr = n! ÷ [r!(n − r)!]Use when you only care which items are selected, not their order.
Example
Choosing 3 people from 10 gives 120 groups, while arranging 3 positions gives 720 orders.