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Permutation Calculator P(n,r)

Calculate the number of ordered selections of r items from n.

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Result

720

P(10, 3) = 720

P(n,r) = n! / (n−r)!

What Is a Permutation?

A permutation is the number of ways a certain number of items can be selected from a group in a specific order. It is used when order matters.

How is it calculated?

How Is It Calculated?

P(n, r) = n! ÷ (n − r)!

  1. Enter the total number of items n and the number to select r.

For example, arranging 2 of 5 people: 5! ÷ 3! = 20.

Frequently Asked Questions

What is the difference between permutation and combination?
In a permutation order matters, while in a combination it does not; that is why the number of permutations is larger for the same selection.

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