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9 4 Permutations
9 4 Permutations
9 4 Permutations
9 4 Permutations
9 4 Permutations
9 4 Permutations
9 4 Permutations
9 4 Permutations
9 4 Permutations
9 4 Permutations
9 4 Permutations
9 4 Permutations
9 4 Permutations
9 4 Permutations
9 4 Permutations
9 4 Permutations
9 4 Permutations
9 4 Permutations
9 4 Permutations
9 4 Permutations
9 4 Permutations
9 4 Permutations
9 4 Permutations
9 4 Permutations
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9 4 Permutations

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  • 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

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