By Zencalcy Editorial TeamLast reviewed About us
Count ordered arrangements — podium finishes, passwords, seating plans. When order matters, nPr is the formula; when it doesn't, use combinations instead.
Ordered arrangements nPr with the factorial formula shown.
P(n,r) = n! / (n−r)!
| Symbol | Meaning |
|---|---|
| n | Total items available |
| r | Items arranged (order counts) |
P(10,3) = 720 ways to award gold/silver/bronze among 10 athletes. P(5,5) = 120 seatings.
Continue with the Percentage Calculator, all math calculators, or browse the full calculator directory.
Order counts here (ABC ≠ BAC). For unordered groups use nCr.
Click to use the Absolute Value Calculator and get instant results.
Click to use the Basic Calculator and get instant results.
Click to use the Scientific Calculator and get instant results.
Click to use the Exponent Calculator and get instant results.
Click to use the Square Root Calculator and get instant results.
Click to use the Cube Root Calculator and get instant results.
Content updated: September 2026