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Honors Precalculus Counting and Probability Section 12.2: Permutations and Combinations IBTWW: 10/23/2015.

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Presentation on theme: "Honors Precalculus Counting and Probability Section 12.2: Permutations and Combinations IBTWW: 10/23/2015."— Presentation transcript:

1 Honors Precalculus Counting and Probability Section 12.2: Permutations and Combinations IBTWW: 10/23/2015

2 Independent Events Have no effect on one-another Dependent events Permutation of n elements taken r at a time Arrangement Order matters choose 1 at a time choose r at a time Combination of n elements taken r at a time Grouping Order doesn’t matter choose r at a time

3 1. A store has 10 refrigerators, 12 stoves, and 15 dishwashers for sale. How many ways can a person select 1 of each? 2.How many 6-digit license plates can be made if no digit can be repeated and the first digit must be 5? a. Treat as 6 separate events b. Treat as 2 events 3.How many ways can a president, vice-president, secretary, and treasurer be selected from a club with 25 members? a. 4 separate events b. as an arrangement of 4 of the 25 members ___ ___ ___ Pick a 5 Pick 5 numbers from 9 ____ ____ pres vp sec treas

4 4. A debate coach needs to pick a team of 3 from her 7 members. How many teams can be selected? create a group order doesn’t matter 5.How many different ‘words’ (real or imaginary) can be formed by using all of the letters of KELLNER? 3 separate events 6. How many ways can a 4-card hand be dealt if it contains exactly 1 of the 4 aces? 2 separate events Place the L‘s Place the E‘s Place the others Pick an ace Pick 3 other cards

5 Honors Precalculus Counting and Probability Section 12.2: Permutations and Combinations IBTWW

6 Independent Events Dependent events Permutation of n elements taken r at a time Combination of n elements taken r at a time

7 1. A store has 10 refrigerators, 12 stoves, and 15 dishwashers for sale. How many ways can a person select 1 of each? 2.How many 6-digit license plates can be made if no digit can be repeated and the first digit must be 5? 3.How many ways can a president, vice-president, secretary, and treasurer be selected from a club with 25 members?

8 4. A debate coach needs to pick a team of 3 from her 7 members. How many teams can be selected? 5.How many different ‘words’ (real or imaginary) can be formed by using all of the letters of KELLNER? 6. How many ways can a 4-card hand be dealt if it contains exactly 1 of the 4 aces?

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