- Fill in n (total items), and r (items selected). Each control is labeled; you do not need to paste a JSON blob.
- Click "Run" to run the tool in your browser.
- Read the result below the form and copy it if you need it in another app.
Permutation Calculator
The Permutation Calculator calculates the number of permutations of selecting 'r' items...
Configuration for this calculator is missing.
How to Use This Tool
Learn More About Permutation Calculator
Understanding Permutations
A permutation is an arrangement of objects in a specific order. The number of permutations of 'n' objects taken 'r' at a time is denoted as nPr.
Permutation Formula
nPr = n! / (n - r)!
Example
If you have 5 items and want to select 3 in a specific order, the number of permutations is 5P3 = 5! / (5-3)! = 5! / 2! = 60.
About
The Permutation Calculator calculates the number of permutations of selecting 'r' items from a set of 'n' items, where the order of selection matters. It uses the formula nPr = n! / (n-r)!
Examples
Permutation Calculator: quick try
Input
Input
10, 3
Output
720
Load sample
Use the Load sample button or Sample menu to paste a valid example.
Input
5, 5
Output
120
Use Cases
- Determining the number of possible arrangements.
- Calculating probabilities in situations where order matters.
- Solving combinatorial problems.
- Used in cryptography and computer science.