1. Algebra 2 Chapter 12 Venn Diagrams, Permutations, and Combinations Lesson 12.2

2. Topics to be covered Venn Diagrams Permutations Combinations

3. Venn Diagrams Diagrams or pictures that represent the union and intersection of sets. A B The rectangle represents other elements that are not part of set A or B

4. Venn Diagrams Diagrams or pictures that represent the union and intersection of sets. A B The rectangle is sometimes referred to as the universal set.

5. Definition Two sets with no elements in common are said to be disjoint or mutually exclusive. Two sets are disjoint if their intersection is the empty set.

6. Venn Diagrams Diagrams or pictures that represent the union and intersection of sets. A B A and B are disjoint

7. Venn Diagrams Venn Diagrams can also show subsets A B A is a subset of B

8. Permutations An arrangement of the elements or some of the elements, of a set. For example, take the set {A, T, E} Some possible permutations: ATETAEEAT AETTEAETA

9. Permutation Formula

10. Combinations

11. Homework Page 22, #1-25