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Review Answers are on the last slide. 1. A medical researcher needs 6 people to volunteer to test the effectiveness of an experimental drug. If 13 people have volunteered for the test, in how many ways can 6 people be chosen? 2. How many different 4-letter passwords can be formed from the letters A, B, C, D, E, F, and G if no repetition of letters is allowed? 3. The model of the car you are thinking of buying is available in nine different colors and three different styles (hatchback, sedan, or station wagon). In how many ways can you order the car? 4. An ice-cream store sells 2 drinks (soda or milk shakes), in four sizes (small, medium, large, or jumbo), and five flavors (vanilla, strawberry, chocolate, coffee, or pistachio). In how many ways can a customer order a drink? 5. Telephone numbers in the United States begin with 3-digit area codes followed by 7-digit local telephone numbers. Area codes and local telephone numbers cannot begin with 0 or 1. How many different telephone numbers are possible? 6. You and 19 of your friends have decided to form an internet marketing consulting firm. The group needs to choose 3 officers – a CEO, an operating manager, and a treasurer. In how many ways can those offices be filled? 7. How many ways can you select 6 free videos from a list of 200 videos? 8. In a race in which there are 50 runners and no ties, in how many ways can the first three finishers come in? 9. A 3-person committee is needed to study ways to improving public transportation. How many committees could be formed from the 8 people on the board of supervisor? 10. In poker, a person is dealt 5 cards from a standard 52-card deck. The order in which you are dealt 5 cards does not matter. How many different 5-card poker hands are possible? 11. You are taking a multiple-choice test that has 5 questions. Each of the questions has 3 choices, with 1 correct choice per question. If you select one of these options per question and leave nothing blank, in how many ways can you answer the questions? 12. To win at LOTTO in the state of Florida, one must correctly select 6 numbers from a collection of 53 numbers (1-53). The order in which the selection is made does not matter. How many different selections are possible? 13. A die is rolled once. Find the probability of getting a number less than 5. 14. If you are dealt one card from a standard 52-card deck, find the probability of being dealt the king of hearts. 15. Florida’s lottery game, LOTTO, is set up so that each player chooses six different numbers from 1 to 53. If the 6 numbers chosen match the 6 numbers drawn randomly twice weekly, the player wins (or shares) the top prize. With one LOTTO ticket, what is the probability of winning the prize? 16. In 2001, Americans spent nearly 18 billion dollars on lotteries set up by revenue-hungry states. If a person buys 5000 different tickets in Florida’s LOTTO, (refer to previous problem), what is his probability of winning? 17. What is the probability of a family having 9 girls in a row? ANSWERS 1) 1716 2) 840 3) 27 4) 40 5) 6,400,000,000 6) 6840 7) 8.24 x 10^10 8) 117,600 10) 2,598,960 9) 56 11) 243 14) 1/52 12) 22,957,480 15) 1/22,957,480 16) 5000/22,957,480 17) 1/512 13) 2/3