Mary’s yard is a mess. she needs to hire someone to prune her trees and shrubs. a landscaping service she calls quotes her a price of $15 consultation fee plus $8 an hour for the actual work. mary’s neighbor has offered to her out. she doesn’t charge a consultation fee, but does charge $10 an hour for her work. who do you think mary should hire for a 3-hour job and why?

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.)