5P3 — Permutations of 5 Things Taken 3 at a Time
5P3 equals 60 — there are 60 ordered arrangements of 3 items chosen from 5.
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.
5P3 calculates the number of ways to arrange 3 items out of 5, where order matters.
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.