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Question: a friend of mine is giving a dinner party his...

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A friend of mine is giving a dinner party. His current wine supply includes 9 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? (b) If 6 bottles of wine are to be randomly selected from the 28 for serving, how many ways are there to do thisi? ways o I bottles are randomly selected, how any ways are ther of each varkety there to obtain two bottles of each variety? (d) If 6 bottles are randomly places.) y selected, what is the probability that this results in two bottles of each variety being chosen? (Round your answer to three decimal the pro (e) If 6 bottles are randomly selected, what is the probability that all of them are the same variet y? (Round your answer to three decimal places.)
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