Lesson 2: 14.2 Permutations and Combinations

What is the difference between a permutation and a combination?
How does order matter in a permutation?
How does order not matter in a combination?
What is factorial notation and how is it used in permutations and combinations?

Permutation
Combination
Factorial Notation

HS.MA.5A - 5A. Summarize, represent, and interpret data on a single count or measurement variable.

The primary purpose of a lesson on permutations and combinations is to equip students with the tools to systematically count the number of possible arrangements or selections in a given situation.

Example 24, page 889: In how many different ways can first, second, and third prizes be awarded in a game with eight contestants?

Students often mix up combination and permutation concepts, applying the wrong formula to a problem.
Students may struggle with the concept of factorial and its application in permutation and combination formulas.
Students might overlook the impact of identical objects on the number of permutations.

For advanced students, introduce more complex problems involving multiple stages or conditional probabilities.
For struggling students, provide additional examples and visual aids.

Exit Tickets and Quizzes

Textbook in class

Notes on Google Classroom