Permutation Calculator
Calculate the number of ways to arrange k items from n items (nPr). Shows the step-by-step permutation calculation. Numbers never leave your device — every calculation runs locally in your browser.
How to Use the Permutation Calculator
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Frequently Asked Questions
What is a permutation?
A permutation counts the number of ways to arrange k items from n items where order matters. For example, arranging 3 books on a shelf from 5 options = P(5,3) = 60 permutations.
What is the formula used?
nPr = n! / (n-k)!. The calculator shows each step: the numerator (n factorial), denominator ((n-k) factorial), and the final division result.
Does it show the step-by-step calculation?
Yes. The tool expands the factorial terms, shows the intermediate values, and demonstrates how the division produces the final count.
How is this different from combinations?
Permutations count arrangements where order matters (ABC ≠ BCA). Combinations count selections where order doesn't matter (ABC = BCA). Use the Combination Calculator for selections.
When using Permutation Calculator, is the calculation done locally?
Yes. All calculations run in your browser. No data is transmitted.
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Last updated October 2026