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Lesson 12.5, For use with pages 675-679 1. Choose one of  6  piano players and one of  3   singers. 2. Choose one of 4 movies and one of 5 snacks. Use the counting principle to find the number of possible choices.
Lesson 12.5, For use with pages 675-679 1. Choose one of  6  piano players and one of  3   singers. 2. Choose one of 4 movies and one of 5 snacks. Use the counting principle to find the number of possible choices. ANSWER 18 ANSWER 20
Essential Questions ,[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
Permutations n = total to select from r = the number you are selecting
GUIDED PRACTICE for Examples 1 and 2 4.  Chris wants to see four movies that were released  in the past month. In how many different orders can Chris watch the movies? = 24 Choices for  1st  place Choices for  2nd  place Choices for  3rd  place Choices for  4th  place 4  3  2  1 Counting principle Chris can watch the movies in 24 different orders. Or  4 P 4  = 24. ANSWER
GUIDED PRACTICE for Examples 1 and 2 5.   In how many ways can  7  runners finish in first,  second, and third place? =  210 Choices for first Choices for second Choices for third 7  6  5 Counting principle ANSWER There are  210  ways to finish the first, second, and third place. Or  7 P 3  = 210.
EXAMPLE 2 Counting Permutations Band Competition Twelve marching bands are entered in a competition. You can use the counting principle to count how many ways first, second, and third places can be awarded. Counting principle =  1320 Choices for  1st  place Choices for  2nd  place Choices for  3rd  place 12  11  10 ANSWER There are  1320  ways to award the three places. Or  12 P 3  = 1320.
[object Object],[object Object],[object Object],[object Object],8!  3! 9! 6! 720 5040 24 6720 504 = =
[object Object],[object Object],[object Object],[object Object],[object Object]
Page 678 ,[object Object],[object Object]
Page 678 ,[object Object],[object Object]
On Line Calculators ,[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object]

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12.5 permutations 2

  • 1. Lesson 12.5, For use with pages 675-679 1. Choose one of 6 piano players and one of 3 singers. 2. Choose one of 4 movies and one of 5 snacks. Use the counting principle to find the number of possible choices.
  • 2. Lesson 12.5, For use with pages 675-679 1. Choose one of 6 piano players and one of 3 singers. 2. Choose one of 4 movies and one of 5 snacks. Use the counting principle to find the number of possible choices. ANSWER 18 ANSWER 20
  • 3.
  • 4.
  • 5. Permutations n = total to select from r = the number you are selecting
  • 6. GUIDED PRACTICE for Examples 1 and 2 4. Chris wants to see four movies that were released in the past month. In how many different orders can Chris watch the movies? = 24 Choices for 1st place Choices for 2nd place Choices for 3rd place Choices for 4th place 4 3 2 1 Counting principle Chris can watch the movies in 24 different orders. Or 4 P 4 = 24. ANSWER
  • 7. GUIDED PRACTICE for Examples 1 and 2 5. In how many ways can 7 runners finish in first, second, and third place? = 210 Choices for first Choices for second Choices for third 7 6 5 Counting principle ANSWER There are 210 ways to finish the first, second, and third place. Or 7 P 3 = 210.
  • 8. EXAMPLE 2 Counting Permutations Band Competition Twelve marching bands are entered in a competition. You can use the counting principle to count how many ways first, second, and third places can be awarded. Counting principle = 1320 Choices for 1st place Choices for 2nd place Choices for 3rd place 12 11 10 ANSWER There are 1320 ways to award the three places. Or 12 P 3 = 1320.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.