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A friend of mine is giving a dinner party. His current wine supply includes 9 bottles of zinfandel, 13 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? 504 (b) If 6 bottles of wine are to be randomly selected from the 33 for serving, how many ways are there to do this? 1107568 (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 probability that 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 probability that all of them are the same variety? (Round your answer to three decimal places.)

A friend of mine is giving a dinner party. His current wine supply includes 9 bottles of zinfandel, 13 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? 504 (b) If 6 bottles of wine are to be randomly selected from the 33 for serving, how many ways are there to do this? 1107568 (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 probability that 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 probability that all of them are the same variety? (Round your answer to three decimal places.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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please help me solving the question a) through e).

A friend of mine is giving a dinner party. His current wine supply includes 9 bottles of zinfandel, 13 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? 504 (b) If 6 bottles of wine are to be randomly selected from the 33 for serving, how many ways are there to do this? 1107568 (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 probability that 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 probability that all of them are the same variety? (Round your answer to three decimal places.)
Transcribed Image Text:A friend of mine is giving a dinner party. His current wine supply includes 9 bottles of zinfandel, 13 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? 504 (b) If 6 bottles of wine are to be randomly selected from the 33 for serving, how many ways are there to do this? 1107568 (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 probability that 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 probability that all of them are the same variety? (Round your answer to three decimal places.)
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