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Probability & Combinatorics Calculator (nPr & nCr)

Calculate permutations (nPr), combinations (nCr), and event odds.

Studio-Grade Mathematical Suite

Math & Statistics Calculator

High-precision percentage, fraction arithmetic, ratio scaling, dataset averages, statistical variance, and combinatorics.

Common Scenarios:
Permutations nPr (Order Matters)
720
Combinations nCr (Order Does Not Matter)
120
Formulas:

About Probability & Combinatorics Calculator (nPr & nCr)

Calculate permutations where order matters (nPr), combinations where order does not matter (nCr), single event probabilities, and odds against.

Key Capabilities & Features

  • Calculates Combinations: nCr = n! / (r! × (n-r)!)
  • Calculates Permutations: nPr = n! / (n-r)!
  • Single draw probability and fractional odds ratio display
  • Handles large combinatorics sets with instant client-side calculation

How to Use Probability & Combinatorics Calculator (nPr & nCr)

1

Enter Total (n)

Set the total number of items.

2

Enter Chosen (r)

Set how many items are selected.

3

Review Combinatorics

View nCr combinations and nPr permutations.

Privacy & In-Browser Execution Guarantee

All calculations execute 100% in your browser with zero server uploads.

Frequently Asked Questions

What is the difference between combination and permutation?

Permutations care about order (like a safe combination lock 1-2-3 vs 3-2-1). Combinations do not care about order (like a hand of playing cards).