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 classical. Here are the results: no one disliked all...

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 classical. Here are the results: no one disliked all three types of music. Six liked all three types. Eleven didn’t like country western; fifteen liked rock; three liked country western and rock, but not classical. Six didn’t like classical. Eight liked classical and country western. Seven didn’t like rock. How many people liked classical and rock but not country western?