A company wants to provide better customer service to all of its 2000 clients. The company needs to create a sample of clients to survey. How should the company select its sample of clients? Select two that apply.

A. The company should choose the first 50 clients that volunteer to take the survey.
B. Every employee in the company should recommend 1 client to survey.
C. The company should have a computer randomly generate a list of 200 clients to survey.
D. The company should survey every 5th client that makes an appointment.

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.)