Every Saturday morning, three friends meet for breakfast at 9:00 A. M. Fatima walks, Khalil
bikes, and Khadija drives. All three friends
were exactly on time. Fatima left her house at
8:30 A. M. and walked at a rate of 3 miles per
hour. Khalil left his house at 8:15 A. M. and
biked at a rate of 14 miles per hour. Khadija
left her house at 8:45 A. M. and drove an
average speed of 35 miles per hour. How many
miles from the restaurant does the person who
traveled the furthest live?

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)