In a survey of 270 college students, it is found that 64 like brussels sprouts, 94 like broccoli, 58 like cauliflower, 26 like both brussels sprouts and broccoli, 28 like both brussels sprouts and cauliflower, 22 like both broccoli and cauliflower, and 14 like all three vegetables. How many of the 270 students do not like any of these vegetables?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 2T: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert and a drink....
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In a survey of 270 college students, it is found that 64 like brussels sprouts,
94 like broccoli, 58 like cauliflower, 26 like both brussels sprouts and broccoli, 28 like
both brussels sprouts and cauliflower, 22 like both broccoli and cauliflower, and 14 like
all three vegetables. How many of the 270 students do not like any of these vegetables?
Transcribed Image Text:In a survey of 270 college students, it is found that 64 like brussels sprouts, 94 like broccoli, 58 like cauliflower, 26 like both brussels sprouts and broccoli, 28 like both brussels sprouts and cauliflower, 22 like both broccoli and cauliflower, and 14 like all three vegetables. How many of the 270 students do not like any of these vegetables?
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