Combination Calculator
This combination calculator helps you find the number of ways to select items when the order does not matter. Enter values of n and r to calculate nCr.
Combination Formula
The formula used to calculate combinations is:
nCr = n! / [ r! (n − r)! ]
- n = total number of items
- r = number of items selected
Example Calculation
If n = 5 and r = 2:
nCr = 5! / (2! × 3!) = 10
Frequently Asked Questions
When should combinations be used?
Combinations are used when the order of selection does not matter, such as choosing team members or selecting questions.
What if r is greater than n?
Combination is not defined when r is greater than n.