Permutation & Combination Calculator

Calculate nPr & nCr values

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n (total items)

r (select)

Permutation (nPr)

Order matters

720

Combination (nCr)

Order doesn't matter

120

Step-by-Step

P(10,3) = n! / (n−r)!

10! / (10-3)! = 3,628,800 / 5,040 = 720

C(10,3) = n! / (r! × (n−r)!)

10! / (3! × (10-3)!) = 3,628,800 / (6 × 5,040) = 120

Factorials

10!3,628,800

3!6

(10−3)!5,040

P/C ratio6 (= 3!)

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Full guide

How to Calculate Permutations and Combinations

Learn nPr vs nCr, when order matters, factorial formulas, and everyday counting examples — with clear steps and a free permutations calculator.

Read the guide

About Permutation & Combination Calculator

A permutation and combination calculator that computes nPr (order matters) and nCr (order doesn't matter) for given n and r values. Shows the factorial breakdown, provides step-by-step calculation, and displays a comparison between permutation and combination results. All processing is client-side. Essential for probability, statistics, and discrete mathematics students.

Permutation & Combination Calculator Features

nPr & nCr
Factorial
Step-by-step
Comparison
Large numbers

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