Mathematics
Combination & Permutation – Tutorial
On this page, you can find the logic, usage, and important details of the Combination & Permutation calculator.
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Permutation & Combination
Factorial (n!)
n! = n × (n−1) × ... × 1 | 0! = 1
Permutation (nPr) – Order Matters
nPr = n! / (n−r)!
Example: Assigning 3 people from 5 to distinct roles → order matters → permutation
Combination (nCr) – Order Doesn't Matter
nCr = n! / (r! × (n−r)!)
Example: Choosing a 3-person team from 5 → order doesn't matter → combination
Golden Rule
Does changing the order change the result? Yes → Permutation | No → Combination