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Permutation Calculator - nPr Formula
Free permutation calculator. Calculate nPr - the number of ways to arrange r items from n items where order matters.
Permutation Calculator
Calculate nPr - ordered arrangements
Result
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What is Permutation?
A permutation is an arrangement of items where ORDER MATTERS. For example, choosing 3 people from 10 for 1st, 2nd, and 3rd place - each arrangement is different.
Permutation Formula
P(n,r) = n! / (n-r)!
Example: P(10,3) = 10!/(10-3)! = 10×9×8 = 720 ways
Frequently Asked Questions
What is the difference between permutation and combination?
In permutations, order matters (ABC ≠CBA). In combinations, order doesn't matter (ABC = CBA). Use permutations for rankings, sequences, and arrangements.
When should I use permutations?
Use permutations when the order of selection matters: race rankings, password arrangements, seat assignments, phone numbers, etc.
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