A group of cruise guests were surveyed about their taste in music. They were asked how they liked 3 types of music: rock, country western, and jazz. Here are the results: no one disliked all three types of music. Six liked all three types. Eleven didn’t like country western; sixteen liked jazz; three liked country western and jazz, but not rock. Six didn’t like rock. Eight liked rock and country western. Seven didn’t like jazz. How many people liked jazz and rock but not country western?

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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A group of cruise guests were surveyed about their taste in music. They were asked how they liked 3 types of music: rock, country western, and jazz. Here are the results: no one disliked all three types of music. Six liked all three types. Eleven didn’t like country western; sixteen liked jazz; three liked country western and jazz, but not rock. Six didn’t like rock. Eight liked rock and country western. Seven didn’t like jazz. How many people liked jazz and rock but not country western?
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