Permutation Calculator
Calculate the number of permutations (ordered arrangements) of n items taken r at a time. Uses the formula P(n,r) = n! / (n-r)!
Permutations
720
N Factorial3,628,800
N Minus R Factorial5,040
Formule
## How to Calculate Permutations ### Formula **P(n, r) = n! / (n - r)!** Where: - **n** = total number of items - **r** = number of items being chosen - **!** = factorial Permutations count arrangements where **order matters**.
Exemple Résolu
How many ways can you arrange 3 items from a set of 10? (Order matters)
- 01P(10, 3) = 10! / (10-3)!
- 02= 10! / 7!
- 03= 10 × 9 × 8
- 04= 720
Questions Fréquentes
What is a permutation?
A permutation is an arrangement of objects where the order matters. For example, the arrangements ABC and BAC are different permutations.
What is the difference between permutation and combination?
Permutations count arrangements where order matters (ABC ≠ BAC). Combinations count selections where order does not matter (ABC = BAC).
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