Permutation Calculator (nPr)

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Use this Permutation Calculator (nPr) calculator for quick, clear estimates. Try a tiny example to see the impact of each input.

Frequently Asked Questions

Q: What is a permutation in mathematics?
A permutation is an arrangement of objects in a specific order. The order of selection matters in permutations. For example, the permutations of the letters A, B, C taken two at a time are AB, BA, AC, CA, BC, CB.

What is the formula for permutations?
The formula for calculating the number of permutations of ‘n’ distinct items taken ‘r’ at a time is given by P(n, r) = n! / (n-r)!, where ‘!’ denotes the factorial (the product of all positive integers up to that number).

When should I use a permutation versus a combination?
You should use a permutation when the order of the selected items matters. You should use a combination when the order does not matter.

Can a permutation calculator handle repetitions?
Standard permutation calculators typically deal with permutations of distinct objects. If repetitions are allowed, or if there are identical items within the set, specialized formulas or calculators for permutations with repetition would be needed.