Permutation Calculator

Use our free permutation calculator to find nPr, the number of ways to arrange r items selected from a set of n items where order matters.

Math

n (total items)

r (arranged)

Formula

A permutation is an arrangement of r items from n where order matters. nPr = n! / (n-r)!.

P(n, r) = n! / (n-r)!

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Enter n (total items).
2Enter r (items to arrange).
3Click Calculate.

Examples

P(10, 3)

1.P(10,3)=10!/7!=10×9×8=720

Result: 720

P(5, 2)

1.P(5,2)=5!/3!=5×4=20

Result: 20

Frequently Asked Questions

An arrangement of items where order matters.

P(n,r) = n! / (n-r)!.

P(n,0) = 1.

P(n,n) = n! (all permutations of n items).

Permutations consider order; combinations do not.

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CalculateMe Team

Last updated: 2026-07-14

Permutation Calculator

Formula

How It Works

Examples

P(10, 3)

P(5, 2)

Frequently Asked Questions

What is a permutation?

Formula?

P(n,0)?

P(n,n)?

Combination vs permutation?

Related Calculators

Permutation Calculator

Formula

How It Works

Examples

P(10, 3)

P(5, 2)

Frequently Asked Questions

What is a permutation?

Formula?

P(n,0)?

P(n,n)?

Combination vs permutation?

Related Calculators