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17. Powerball As of this writing, the Powerball lottery is run in 44 states. Winning the jackpot requires that you select the correct five different numbers between 1 and 69 and, in a separate drawing, you must also select the correct single number between 1 and 26. Find the probability of winning the jackpot. 18. Teed Off When four golfers are about to begin a game, they often toss a tee to randomly select the order in which they tee off. What is the probability that they tee off in alphabetical order by last name? 19. ZIP Code If you randomly select five digits, each between 0 and 9, with repetition allowed, what is the probability you will get the author's ZIP code? 20. FedEx Deliveries With a short time remaining in the day, a FedEx driver has time to make deliveries at 6 locations among the 9 locations remaining. How many different routes are possible? 21. Phone Numbers Current rules for telephone area codes allow the use of digits 2-9 for the first digit, and 0-9 for the second and third digits. How many different area codes are possible with these rules? That same rule applies to the exchange numbers, which are the three digits immediately preceding the last four digits of a phone number. Given both of those rules, how many 10-digit phone numbers are possible? Given that these rules apply to the United States and Canada and a few islands, are there enough possible phone numbers? (Assume that the combined population is about 400,000,000.) 22. Classic Counting Problem A classic counting problem is to determine the number of different ways that the letters of "Mississippi" can be arranged. Find that number. 23. Corporate Officers and Committees The Digital Pet Rock Company was recently successfully funded via Kickstarter and must now appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a strategic planning committee with four different members. There are 10 qualified candidates, and officers can also serve on the committee. a. How many different ways can the four officers be appointed? b. How many different ways can a committee of four be appointed? c. What is the probability of randomly selecting the committee members and getting the four youngest of the qualified candidates?

17. Powerball As of this writing, the Powerball lottery is run in 44 states. Winning the jackpot requires that you select the correct five different numbers between 1 and 69 and, in a separate drawing, you must also select the correct single number between 1 and 26. Find the probability of winning the jackpot.
18. Teed Off When four golfers are about to begin a game, they often toss a tee to randomly select the order in which they tee off. What is the probability that they tee off in alphabetical order by last name?
19. ZIP Code If you randomly select five digits, each between 0 and 9, with repetition allowed, what is the probability you will get the author's ZIP code?
20. FedEx Deliveries With a short time remaining in the day, a FedEx driver has time to make deliveries at 6 locations among the 9 locations remaining. How many different routes are possible?
21. Phone Numbers Current rules for telephone area codes allow the use of digits 2-9 for the first digit, and 0-9 for the second and third digits. How many different area codes are possible with these rules? That same rule applies to the exchange numbers, which are the three digits immediately preceding the last four digits of a phone number. Given both of those rules, how many 10-digit phone numbers are possible? Given that these rules apply to the United States and Canada and a few islands, are there enough possible phone numbers? (Assume that the combined population is about 400,000,000.)
22. Classic Counting Problem A classic counting problem is to determine the number of different ways that the letters of "Mississippi" can be arranged. Find that number.
23. Corporate Officers and Committees The Digital Pet Rock Company was recently successfully funded via Kickstarter and must now appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a strategic planning committee with four different members. There are 10 qualified candidates, and officers can also serve on the committee.
a. How many different ways can the four officers be appointed?
b. How many different ways can a committee of four be appointed?
c. What is the probability of randomly selecting the committee members and getting the four youngest of the qualified candidates?

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