- Enter n — Total number of items.
- Enter r — Number of items chosen.
- Calculate — See permutations, combinations, with/without repetition, and factorial.
Permutation & Combination Calculator
Calculate permutations P(n,r) and combinations C(n,r) with and without repetition. The calculator uses BigInt for exact results even with very large numbers, and shows factorial values.
Formulas
- P(n,r) = n! / (n-r)! — Order matters, no repetition
- C(n,r) = n! / (r!(n-r)!) — Order doesn't matter, no repetition
- P with repetition = n^r — Order matters, repetition allowed
- C with repetition = (n+r-1)! / (r!(n-1)!) — Order doesn't matter, repetition allowed
Real-World Examples
- Lottery — C(49,6) = 13,983,816 possible combinations
- Password — P with rep: 26^8 = 208 billion for 8 lowercase letters
- Committee — C(20,5) = 15,504 ways to choose 5 from 20
- Race places — P(10,3) = 720 ways for gold, silver, bronze from 10
Features
- 5 Calculations — P, C, P with rep, C with rep, factorial
- Large Numbers — BigInt support for exact results
- Formula Display — Shows formula used for each calculation
Privacy
All calculations run in your browser.