1. Permutations and Combinations Advanced Math Topics

2. Permutations  When a group of objects or people are arranged in a certain order.

3. Example Eight people enter the Best Pie contest. How many ways can blue, red, and green ribbons be awarded?

4. Examples  Ten people are competing in a swim race where 4 ribbons will be given. How many ways can blue, red, green, and yellow ribbons be awarded?

5. Permutations with Repetitions

6. Example How many different ways can the letters of the word BANANA be arranged?

7. Example  How many different ways can the letters of the word ALGEBRA be arranged?

8. Combinations  An arrangement or selection of objects in which order is not important

9. Example Five cousins at a family reunion decide that three of them will go to pick up a pizza. How many ways can they choose three people to go?

10. Example Six cards are drawn from a standard deck of cards. How many hands consist of two hearts and four spades?

11. Example  Thirteen cards are drawn from a standard deck of cards. How many hands consist of six hearts and seven diamonds?

12. Example  A coach must choose five starters from a team of 12 players. How many different ways can the coach choose the starters?

13. Example  If 20 people work in a an office and 4 are selected to go to a conference how many different selections are possible?

14. Example  In gym class Blake is picking a team for tennis, he needs to pick 3 people from his class of 20. How many different teams could he form?

15. Example  If the Junior class is voting on class officers and 8 people have volunteered for the positions of President, Vice President, and Historian how many ways can the students select their class officers?