Smart TV Buyer Insights Survey 2024 by 91mobiles.pdf
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
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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.