This permutation calculator finds the number of ways to arrange a sample of items from a larger set when the order matters. Enter the total number of objects (n) and the number of items in your arrangement (r). For example, the permutations calculator can tell you how many ways you can arrange 4 books from a shelf of 10 books. If the order items in the sample does NOT matter, use the Combination Calculator instead.
You can choose whether sampling is without replacement (default) or with replacement. The calculator will show the correct permutation notation, the final answer, a plain-language explanation, and a step-by-step solution. Below the permutation calculator, you’ll find more information about interpretations and using its output. See all my Statistical Calculators!