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I. A person can purchase a particular model of a new car 15. with a choice of ten colors. with or without automatic transmission, with or without four-wheel drive. with or without air conditioning, and with two. three. or four radio-CD speakers How many different options are there 16. for this model of the car? 17. 2. Four acts are scheduled to perform in a variety show. How many different ways are there to schedule their appearances? 3. In how many ways can seven airplanes line up for a 18. departure on a runway if the plane with the greatest number of passengers must depart first? 4. A human resource manager has 11 applicants to fill three different positions. Assuming that all applicants are equally qualified for any of the three positions, in how many ways can this be done? 5. From the ten books that you've recently bought but not read. you plan to take four with you on vacation. How many different sets of four books can you take? 6. In how many distinct ways can the letters of the word ATLANTA be arranged? In Exercises 7-9. one shulent is selected at random from a group of 12 freshmen. 16 sophomores. 20 juniors and 2 seniors. Find the probability that the person selected is 7. a freshman. 8. not a sophomore. 9. a junior or a senior. 10. If you are dealt one card from a 52-card deck. find the probability of being dealt a card greater than 4 and less than 10. 11. Seven movies (A. B. C. D. E. F. and G) are being scheduled for showing. The order of showing is determined by random selection. Find the probability that film C will he shown first. film A next-to-last. and film E last. 12. A lottery game is set up so that each player chooses six different numbers from 1 to 15. If the six numbers match the six numbers drawn in the lottery. the player wins (or shares) the top cash prize. What is the probability of winning the prize with 50 different lottery tickets? In Exercises 13-14. it is equally probable that the pointer on the spinner shown will land on any one of the eight colored regions. If the painter lands on a borderline. spin again. yellow green red red green yellow 13. If the spinner is spun once. find the probability that the pointer will land on red or blue. 14. If the spinner is spun twice, find the probability that the pointer lands on red on the first spin and blue on the second spin