Use a Venn diagram to answer the question.   A survey of a group of 109 tourists was taken in St. Louis. The survey showed the following: 61 of the tourists plan to visit Gateway Arch; 46 plan to visit the zoo; 10 plan to visit the Art Museum and the zoo, but not the Gateway Arch; 13 plan to visit the Art Museum and the Gateway Arch, but not the zoo; 16 plan to visit the Gateway Arch and the zoo, but not the Art Museum; 9 plan to visit the Art Museum, the zoo, and the Gateway Arch; 14 plan to visit none of the three places. How many plan to visit the Art Museum only?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Use a Venn diagram to answer the question.

 

A survey of a group of 109 tourists was taken in St. Louis. The survey showed the following:

61 of the tourists plan to visit Gateway Arch;

46 plan to visit the zoo;

10 plan to visit the Art Museum and the zoo, but not the Gateway Arch;

13 plan to visit the Art Museum and the Gateway Arch, but not the zoo;

16 plan to visit the Gateway Arch and the zoo, but not the Art Museum;

9 plan to visit the Art Museum, the zoo, and the Gateway Arch;

14 plan to visit none of the three places.

How many plan to visit the Art Museum only?

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