🦊Foxulator
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Permutation/Combination Calculator

Calculate permutations (P), combinations (C), and factorials (!)

nCr = n!/(r!(n-r)!)

📖 How to Use

  1. Select calculation type
  2. Enter n and r
  3. Check result and solution

Features

  • Permutation/Combination/Factorial
  • Step-by-step solution
  • Pascal's triangle

📐 Formula

P(n,r) = n!/(n-r)!, C(n,r) = n!/r!(n-r)!

💡 How It Works

  • Factorial (n!): n × (n-1) × ... × 2 × 1. Example: 5! = 120
  • Permutation: Order matters. Number of ways to arrange r items from n items.
  • Combination: Order doesn't matter. Number of ways to choose r items from n items.
  • Relationship: P(n,r) = C(n,r) × r!
  • Combination property: C(n,r) = C(n, n-r). Example: 10C3 = 10C7

FAQ

Q. What is 10C3?

A. 120 (10!/(3!×7!) = 120)

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