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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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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