A friend of mine is going to offer a party. His current stock of wine includes 8 bottles of Zinfandel, 10 of Merlot, and 12 of Cabernet (he only drinks red wine), all from different wineries. a) If you want to serve 3 bottles of Zinfandel and the order of serving is important, how many ways are there to do it? b) If 6 bottles of wine have to be selected at random from the 30 to be served, how many ways are there? to do it? c) If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety?

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