0 A friend of mine is giving a dinner party His current wine supply includes 8 bottles of zinfandel 10 of merlot and 12 of

Question

0 A friend of mine is giving a dinner party His current wine supply includes 8 bottles of zinfandel 10 of merlot and 12 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 c If 6 bottles are randomly selected how many ways are there to obtain two bottles of each variety d If 6 bottles are randomly selected what is the proba bility that this results in two bottles of each variety being chosen e If 6 bottles are randomly selected what is the proba bility that all of them are the same variety

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