ull 7:35 1 2 of 3 Done 10. | Multiplication Rule for Counting A sales representative must visit four cities: Omaha, Dallas, Wichita, and Oklahoma City. There are direct air con- nections between each of the cities. Use the multiplication rule of counting to determine the number of different choices the sales representative has for the order in which to visit the cities. How is this problem similar to Problem 9? 234 Chapter 5 ELEMENTARY PROBABILITY THEORY 11.| Counting: Agriculture Barbara is a research biologist for Green Carpet Lawns. She is studying the effects of fertilizer type, temperature at time of application, and water treatment after application. She has four fertilizer types, three temperature zones, and three water treatments to test. Determine the number of different lawn plots she needs in order to test each fertilizer 12. | Counting: Outcomes You toss a pair of dice. (a) Determine the number of possible pairs of outcomes. (Recall thes a are six possible outcomes for each die.) (b) There are three even numbers on each die. How many outcomes are pos- type, temperature range, and water treatment configuration. sible with even numbers appearing on each die? (c) Probability Extension What is the probability that both dice will eh even number? 13. I Compute Ps2 17. I Compute C5,2. 14. I Compute P83 18. I Compute C3. 15. I Compute P, 19. I Compute C,7. 7,7 16. I Compute P, 20. I Compute C8,8. 9,9 21. | Counting: Hiring There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing supervisor, position 2 is the night nurs- ing supervisor, and position 3 is the nursing coordinator position. There are 15 candidates qualified for all three of the positions. Determine the number of different ih so or ni bovalga m ways the positions can be filled by these applicants. 22. | Counting: Lottery In the Cash Now lottery gasne there are 10 finalists who submitted entry tickets on time. From these 10 tickets, three grand prize win- ners will be drawn. The first prize is $1 million, the second prize is $100,000, and the third prize is $10,000. Determine the total number of different ways in which the winners can be drawn. (Assume that the tickets are not replaced after they are drawn.) Sib bi oilt Hed a w o o ll somi sb to omoutoo sideog 23. Counting: Sports The University of Montana ski team has five entrants in a men's downhill ski event. The coach would like the first, second, and third places to go to the team members. In how many ways can the five team entrants achieve first, second, and third places? aouo doso illid 24. | Counting: Sales During the Computer Daze special promotion, a custome purchasing a computer and printer is given a choice of 3 free software pack- ages. There are 10 different software packages from which to select. How many different groups of software packages can be selected? 25. | Counting: Hiring There are 15 qualified applicants for 5 trainee positions in a fast-food management program. How many different groups of trainees c be selected? 26. | Counting: Grading One professor grades homework by randomly choos 5 out of 12 homework problems to grade. (a) How different groups many 12 problems? (b) Probability Extension Jerry did only 5 problems of one is the probability that the problems he did comprised the selected to be graded? of 5 problems can be chosen from the assignment. What that was group !!