Permutation Calculator (nPr)
Count the permutations of r items chosen from n, where order matters.
Change the values and press Calculate to work out your own figures.
Enter the number of objects and how many are arranged.
Show the working
- nPr = n! ÷ (n − r)! = 10! ÷ 7! = 720
- nCr = n! ÷ (r! (n − r)!) = 120
How to use it
Enter the number of objects and how many are arranged.
Probabilities can be typed as decimals, fractions or percentages. Show the working gives the formula with your numbers in it.
Key facts
nPr = n! ÷ (n − r)!
Arrangements
The number of ways to arrange all n items in a row is n! (nPn).
Questions
What is 10P3?
720.
How many ways can 8 people line up?
8! = 40,320.
Formulas
nPr = n! ÷ (n − r)!
Sources
Limitations
- Probabilities can be typed as decimals (0.25), fractions (1/4) or percentages (25%).