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# 9 4 Permutations

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### Transcript

• 1. 9-4 Permutations p 381 Find the number of permutations of a set of objects
• 2. Work the hands on mini lab on page 381 with a partner
• 3. We want to choose president and vice president from 4 people.
• Demonstrate with volunteers.
• Use the fundamental counting principle to find number of outcomes.
• 4. A permutation is an arrangement, or listing, of objects in which order is important .
• President and vice president vs committee members
• 5. Example from mini lab
• 6. Factorial (n!)
• 5!=5*4*3*2*1=120
• 7. Find each of the following
• 7!
• 3!
• 2!(3!)
• 8. Ex) in how many ways can the starting six players of a volleyball team stand in a row for a picture?
• Turn and talk---why is this a permutation?
• 9. Ex) The finals of the Middle School Appalachian League features 8 swimmers. In how many ways can the swimmers finish in first of second place?
• Why is this permutation?
• 10. Ex) A team of bowlers has five members who bowl one at a time. In how many orders can they bowl?
• Why is this permutation?
• 11. A school fair holds a raffle with 1 st , 2 nd , and 3 rd prizes. Seven people enter the raffle. How many ways can the three prizes be awarded?
• 12. In how many ways can you arrange four books on a shelf.
• 13. In how many ways can you award 1 st and 2 nd prize form a group of 6?
• 14. In how many ways can 7 people line up at a ticket window?
• 15. In how many ways can you arrange the letters in the word eighty?
• 16. In how many ways can you choose a leading man and an understudy from 11 actors?
• 17. Coach Malone has an 8-member volleyball team. He told his team that he would start six different players every game. How many games would it take to do this?
• Why is this not permutation?
• 18. The International Club is selling hot dogs at eh Spring Carnival. Customers can select three toppings from among chili, onions, cheese, mustard, or relish.
• Is this permutation?
• 19. What are some key words that help you know it is a permutation?
• 20. What are some key words that show it is not a permutation?
• 21. Handout—left side only LINE CODES
• With a partner
• 22. Journal
• How do you find a permutation?
• 23. n P r n objects chosen r at a time
• A school fair holds a raffle with 1 st , 2 nd , and 3 rd prizes. Seven people enter the raffle. How many ways can the three prizes be awarded?
• 7 P 3
graphing calculator
• 24. p 382: 3-19, 21, 22, 23