Permutation Calculator: The Complete Guide
Count the ordered arrangements of items. Enter the total number of items (n) and how many you choose (r) to get nPr — the number of permutations where order matters.
Who the Permutation Calculator is for
Students and analysts counting ordered arrangements for probability and combinatorics.
How to use the Permutation Calculator
- Type your values into the fields above — pick your currency or units where the calculator offers them.
- Results update automatically as you type; there's no submit button and nothing is sent to a server.
- Adjust any input to compare scenarios, then copy the result with a single click.
How it works
nPr = n! ÷ (n − r)! — the number of ways to arrange r items chosen from n when the order of selection matters.
Features
- nPr permutations
- Shows the notation
- Combinations for comparison
- Instant result
When order matters
A permutation counts arrangements where order is significant — like the ways to award gold, silver, and bronze among runners. That makes nPr larger than the matching combinations count, where order is ignored. Permutations appear throughout probability, scheduling, and password math.