A friend of mine is giving a dinner party. His current wine supply includes 12 bottles...

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A friend of mine is giving a dinner party. His current winesupply includes 12 bottles of zinfandel, 8 of merlot, and 10 ofcabernet (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?
ways

(b) If 6 bottles of wine are to be randomly selected from the 30for serving, how many ways are there to do this?
ways

(c) If 6 bottles are randomly selected, how many ways are there toobtain two bottles of each variety?
ways

(d) If 6 bottles are randomly selected, what is the probabilitythat this results in two bottles of each variety being chosen?(Round your answer to three decimal places.)

(e) If 6 bottles are randomly selected, what is the probabilitythat all of them are the same variety? (Round your answer to threedecimal places.)

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Given data Number of Zinfandel bottles is 12 Number of Merlot bottles is 8 Number of Cabernet bottles is 10 Total number of bottles is 30 a If he wants to serve 3 bottles of zinfandel and serving See Answer

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