Permutation Calculator
Calculate permutations P(n,r) = n!/(n-r)! - the number of ways to arrange r items from n items where order matters. Supports both with and without repetition.
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Permutation Calculator - Arrangements Where Order Matters
Calculate permutations instantly with our easy-to-use calculator. Find the number of ways to arrange r items from n items where order matters. Perfect for probability, combinatorics, and statistics problems.
What is a Permutation?
A permutation is an arrangement of items where the order matters. P(n,r) represents the number of ways to arrange r items from a set of n items. For example, arranging 3 books from a shelf of 10 books - the order ABC is different from BAC. Without repetition: P(n,r) = n!/(n-r)!. With repetition: P(n,r) = n^r.
Permutation Formula
P(n,r) = n!/(n-r)!How to Use This Calculator
Permutation Calculator Applications
Password Generation
Calculate possible password combinations for security analysis.
Race Positions
Find ways to assign podium positions in competitions.
Seating Arrangements
Calculate different seating orders for events.
License Plates
Determine possible plate number combinations.
Frequently Asked Questions
In permutations, order matters (ABC ≠ BAC). In combinations, order doesn't matter (ABC = BAC). Use permutations when arranging items in a specific order, like assigning positions or creating passwords.