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Comprehensive Review of Venn Diagrams and Permutations/Combinations in Pre-Calculus

This chapter provides a thorough review of Venn diagrams and their application in counting problems. It includes exercises on finding totals from Venn diagrams with different subsets and intersections, with given values of A and B. Additionally, it covers various permutations and combinations scenarios, such as forming top lists, selecting soccer team positions, and creating committees from groups. Students will gain insight into calculating possibilities in multiple contexts, enhancing their understanding of combinatorial mathematics.

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Comprehensive Review of Venn Diagrams and Permutations/Combinations in Pre-Calculus

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  1. Chapter 15 Review! Pre-Calc

  2. Venn Diagrams! Total = 200 A B 20 45 100 Find:

  3. Venn Diagrams! Total = 200 A B 20 45 100 Find:

  4. Venn Diagrams! Total = 200 A B 20 45 100 Find:

  5. Venn Diagrams! Total = 200 A B 20 45 100 Find:

  6. Venn Diagrams! Total = 200 A B 20 45 100 Find:

  7. Venn Diagrams! Total = 200 A B 20 45 100 Find:

  8. Venn Diagrams! Total = 200 A B 20 45 100 Find:

  9. Venn Diagrams! Total = 200 A B 20 45 100 Find:

  10. Permutations/Combinations! In how many ways can a top 5 list be formed for 20 songs?

  11. Permutations/Combinations! In how many ways can a 15-player soccer team choose their goalie, stopper, and center striker?

  12. Permutations/Combinations! In some towns, addresses are started by 2 digits, followed by a direction (for example: 27 W[est]). How many possible starters are there in this format?

  13. Permutations/Combinations! How many words can be formed by rearranging the letters in Biology?

  14. Permutations/Combinations! In how many ways can 2 cards be chosen from a standard deck, including two jokers?

  15. Permutations/Combinations! • In how many ways can you form a 4 person committee from a group of 12?

  16. Permutations/Combinations! • You are a baseball general manager and trying to acquire a big star from another team. You offer them 3 of your top 10 prospects in exchange for the star player. In how many ways can they select the 3 players they want in return?

  17. Expansion! What is the coefficient in the expansion of ?

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