Use Venn diagram to answer the following two questions- Fan response to singers : Julie Davis, a pop culture analysts, wanted to evalute the realtive appeals of different singers, She interviewed 65 fans and determinded the following: 30, and n(A ∩ B) = 10. 37 like Jazmine Sulliavan 36 like carrie Underwood 31 Like Brad Paisley 14 like Jazmine and Carrie 21 like Jazmine and Brad 14 like Carrie and Brad 8 like all three singers How many of these fans like: (a) Exactly two of these singers?

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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 Use Venn diagram to answer the following two questions-
Fan response to singers : Julie Davis, a pop culture analysts, wanted to evalute the realtive appeals of different singers, She interviewed 65 fans and determinded the following:
 
 30, and n(A ∩ B) = 10.

 37 like Jazmine Sulliavan

36 like carrie Underwood

31 Like Brad Paisley

14 like Jazmine and Carrie

21 like Jazmine and Brad

14 like Carrie and Brad

8 like all three singers

 How many of these fans like:
(a) Exactly two of these singers?
(b)Exactly one of these singers?
(c) None of these singers?
(d)Jazmine, but neither Carrie nor Brad?
(e) Brad and exactly one of the other two?

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