Course Content
Precalculus

Explanation

A permutation is an ordered arrangement of objects.

Formula:
nPr = n! / (n − r)!

  • n = total objects

  • r = objects chosen

Example:
3 people, arrange 2 → 3P2 = 3! / (3 − 2)! = 6


Quiz

  1. Are permutations ordered or unordered?

  2. Write the formula for permutations.

  3. 5 objects, choose 3 → 5P3 = ?

  4. What does “!” mean?

  5. Does order matter?

Answer Key

  1. Ordered

  2. nPr = n! / (n − r)!

  3. 5! / 2! = 120 / 2 = 60

  4. Factorial (multiply all positive integers ≤ number)

  5. Yes

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