Permutations & Combinations (nPr & nCr) Calculator
Processed in your browser
Calculate permutations nPr and combinations nCr with factorials and order importance explanations.
2,598,960
Combinations nCr (Order Ignored)
311,875,200
Permutations nPr (Order Matters)
โก
Direct In-Browser Handoff
Mathematical Computing & Calculation Suite
Chain this tool with complementary private browser utilities for a complete zero-server workflow:
Helpful Examples
Poker Hand (5 from 52)
52 choose 5 combinations = 2,598,960
n=52, r=5
Poker Hand (5 from 52)
52 choose 5 combinations = 2,598,960
n=52, r=5
Podium Race (3 from 10)
10 choose 3 permutations = 720
n=10, r=3
Podium Race (3 from 10)
10 choose 3 permutations = 720
n=10, r=3How to Use the Permutations & Combinations (nPr & nCr) Calculator
Combinatorics problem solver. Compute combinations nCr (where order does not matter) and permutations nPr (where order matters) for probability, lottery odds, and team selections.
Privacy & Data Processing Notice
No user data leaves your browser. Computation is executed entirely on your device. We do not store, view, or transmit your inputs over our network. Your computation remains on your personal machine.
Frequently Asked Questions
What is the difference between permutation and combination?
Order matters in permutations (e.g., combination locks, race podiums), but order does not matter in combinations (e.g., poker hands, team member committees).
What is the difference between permutation and combination?
Order matters in permutations (e.g., combination locks, race podiums), but order does not matter in combinations (e.g., poker hands, team member committees).
What are the formulas?
nPr = n! / (n - r)! and nCr = n! / [r! * (n - r)!].
What are the formulas?
nPr = n! / (n - r)! and nCr = n! / [r! * (n - r)!].
Related Utilities
Frequently paired browser tools in Math & Number Tools