A friend of mine is giving a dinner party. His current winesupply includes 8 bottles of

Chapter 2, Problem 30

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A friend of mine is giving a dinner party. His current winesupply includes 8 bottles of zinfandel, 10 of merlot, and 12of cabernet (he only drinks red wine), all from differentwineries.a. If he wants to serve 3 bottles of zinfandel and servingorder is important, how many ways are there to do this?b. If 6 bottles of wine are to be randomly selected from the30 for serving, how many ways are there to do this?c. If 6 bottles are randomly selected, how many ways arethere to obtain two bottles of each variety?d. If 6 bottles are randomly selected, what is the probabilitythat this results in two bottles of each variety beingchosen?e. If 6 bottles are randomly selected, what is the probabilitythat all of them are the same variety?

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