A survey was taken at a nursing home regarding preferences in music and it was found that:  12 listen to western  11 listen to classical  14 listen to jazz  8 listen to western and jazz  9 listen to jazz and classical,  5 listen to western and classical  8 listen to none of these  3 listen to all three.  How many people were surveyed?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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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A survey was taken at a nursing home regarding preferences in music and it was found that: 

12 listen to western 

11 listen to classical 

14 listen to jazz 

8 listen to western and jazz 

9 listen to jazz and classical, 

5 listen to western and classical 

8 listen to none of these 

3 listen to all three. 

How many people were surveyed? 

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