How to use the Combination Calculator
- 1 Enter the numbers or data requested.
- 2 Choose the calculation option when available.
- 3 Review the result and its assumptions.
Combinations when order does not matter
Use nCr = n! / (r! × (n − r)!). Choosing 3 items from 10 gives 120 groups because rearranging the same group does not create a new selection.
When to use combinations
Choose combinations for groups, teams or draws where the selected members matter but their order does not. If order changes the outcome, use permutations.
Frequently asked questions
What is the combination formula?
nCr = n! / (r! × (n − r)!), where n is the number of available items and r is the number selected.
How are combinations different from permutations?
Combinations ignore order. Permutations count each different order as a distinct arrangement.
Last updated: