Lesson Plan: Permutation Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use permutation properties to solve problems and use permutation to count possible outcomes.


Students will be able to

  • understand what is meant by a permutation and recognize the associated notation,
  • recall that 𝑃=𝑛𝑛𝑘,
  • evaluate simple expressions involving permutations,
  • use permutations to solve counting problems (e.g., How many ways can 5 people sit on 7 chairs?),
  • solve problems related to circular arrangements where rotations are considered equivalent (recognizing that there are 𝑛1 ways of arranging 𝑛 objects in a circle),
  • find the value of an unknown in an equation involving permutations, for example, 𝑛 or 𝑘.


Students should already be familiar with

  • the fundamental counting principle,
  • factorials and the associated notation.


Students will not cover

  • combinations (where order does not matter).

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