A survey of 80 people finds: 42 like Metallica. 27 like Queen. 5 like Nickelback. 15 like both Metallica and Queen 1 Like both Metallica and Nickelback. 2 Like both Queen and Nickelback. 1 Likes all three. How many people like Metallica, but neither of the other two bands?

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 survey of 80 people finds:
42 like Metallica.
27 like Queen.
5 like Nickelback.
15 like both Metallica and Queen
1 Like both Metallica and Nickelback.
2 Like both Queen and Nickelback.
1 Likes all three.
How many people like Metallica, but neither of the other two bands?

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