Permutation Calculator (nPr)
Calculate the number of permutations of n items taken r at a time (nPr).
How to use this tool
- Enter n (total items) and r (items chosen) in the fields above.
- Results update instantly as you type — or click Calculate.
- Read your npr and the full breakdown beneath it.
nPr = n! / (n−r)! counts ordered arrangements of r items from n.
Frequently asked questions
- What is a permutation?
- A permutation is an ordered arrangement. nPr = n!/(n-r)!. For example, P(5,2) = 5×4 = 20 ordered pairs from 5 items.