Lesson Plan: Counting With Repetition Where Order Does Not Matter Mathematics

This lesson plan includes the objectives and prerequisites of the lesson teaching students how to use combinations to count with repetition where order does not matter.


Students will be able to

  • solve problems in which we need to count with repetition and in which we treat different orderings of the same collection as equivalent (e.g., {𝑎,𝑏,𝑐}={𝑐,𝑏,𝑎}),
  • use double counting techniques to think about problems in combinatorics and mathematics more generally.


Students should already be familiar with

  • exponentials,
  • factorials,
  • permutations,
  • combinations.

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