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Mathematics, 10.03.2020 19:32 alexisbreton

A friend of mine is giving a dinner party. His current wine supply includes 9 bottles of zinfandel, 7 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 30 for serving, how many ways are there to do this?

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