Permutations & Combinations
Compute exact nPr permutations and nCr combinations with BigInt precision, multiplicative term cancellation, repetition options, and step-by-step formula explanations.
Set Parameters
Combinations C(52, 5)
Order does NOT matter (e.g. hand of cards)Permutations P(52, 5)
Order DOES matter (e.g. passwords, podium finishes)Mathematical Formula Breakdown
Permutations & Combinations Calculator - Free Client-Side Calculator
Calculate permutations (nPr) and combinations (nCr) with order significance toggles, repetition rules, and step-by-step formulas.
Designed for students, researchers, and professionals, this utility performs Client-side calculations inside your browser with zero network calls or data tracking.
Core Tool Capabilities
- nPr Permutations: Calculate arrangements where order matters: nPr = n! / (n-r)!
- nCr Combinations: Calculate selections where order does not matter: nCr = n! / [r!(n-r)!]
- Repetition Rules: Supports calculations with or without item repetition.
- Pascal Triangle View: Displays corresponding binomial coefficients from Pascal's Triangle.
Local Browser Privacy
Your files are processed locally on your device. Files are not uploaded, transmitted, or stored on remote servers.
Once the page has loaded, you can disconnect your network connection and continue using this tool offline.
Target Use Cases
- • Academic & Educational Work
- • Daily Utility
Technical Specifications & Platform Limits
Runs locally in modern web browsers
Accurate mathematical evaluation
Zero server-side logging or tracking
Step-by-Step Workflow
Enter Values
Provide numerical parameters into the active inputs.
Select Options
Choose units, formulas, or precision rules.
View Results
Instantly view exact calculated results, breakdowns, and step explanations.
Practical Real-World Use Cases
Academic & Educational Work
Verify mathematical homework, physics formulas, or geometry exercises.
Daily Utility
Compute everyday calculations quickly without ads or paywalls.
Frequently Asked Questions
- What is the difference between Permutations and Combinations?
- Permutations account for order (e.g. keypad codes), while Combinations ignore order (e.g. lottery ticket numbers).
- Can n be equal to r?
- Yes. When n = r, nCr = 1 and nPr = n!.
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Master this tool with Guides & Articles
Learn the workflows, common mistakes, and advanced techniques behind Permutations & Combinations with our deep-dive educational content.
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