- Open the Permutation Calculator and find the main field: Input.
- Type your values in that field. The placeholder shows an example format (Enter input...).
- Click "Run" to compute the result in your browser.
- Read the result in the Result section. Use Copy to paste the output elsewhere.
Permutation Calculator
The Permutation Calculator calculates the number of permutations of selecting 'r' items...
Calculator
Enter the values described below, then run. Use Load sample to try a prefilled example when available.
Format hints
Enter input...
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
Enter input...
Output
Shown in the Result area after you click the action button.
Load sample
Use the Load sample button or Sample menu to paste a valid example.
Input
Enter input...
Output
Adjust values and run again; use Copy on the result if needed.
Use Cases
- Determining the number of possible arrangements.
- Calculating probabilities in situations where order matters.
- Solving combinatorial problems.
- Used in cryptography and computer science.