- Open the Combination 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.
Combination Calculator
The Combination Calculator calculates the number of combinations 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 Combination Calculator
Understanding Combinations
A combination is a selection of objects without regard to order. The number of combinations of 'n' objects taken 'r' at a time is denoted as nCr.
Combination Formula
nCr = n! / (r! * (n - r)!)
Example
If you have 5 items and want to select 3 without regard to order, the number of combinations is 5C3 = 5! / (3! * 2!) = 10.
About
The Combination Calculator calculates the number of combinations of selecting 'r' items from a set of 'n' items, where the order of selection does not matter. It uses the formula nCr = n! / (r! * (n-r)!).
Examples
Valid n=5, r=2
Input
Input
{"n":5,"r":2}Output
Shown in the Result area after you click the action button.
Valid n=10, r=3
Input
Input
{"n":10,"r":3}Output
Shown in the Result area after you click the action button.
Use Cases
- Determining the number of possible groups or subsets.
- Calculating probabilities in situations where order does not matter.
- Solving combinatorial problems.
- Used in statistics and probability theory.