SOLUTION: A survey of 175 college students was taken to determine the musical styles they liked. Of​ those, 90 students listened to​ rock, 78 to​ classical, and 85 to jazz.​ Also

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Question 1173736: A survey of 175 college students was taken to determine the musical styles they liked. Of​ those, 90 students listened to​ rock, 78 to​ classical, and 85 to jazz.​ Also, 39 students listened to rock and​ jazz, 34 to rock and​ classical, and 40 to classical and jazz.​ Finally, 21 students listened to all three musical styles. Construct a Venn diagram and determine the cardinality for each region. Use the completed Venn Diagram to answer the following questions.

Answer by greenestamps(13200) About Me  (Show Source):
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For the Venn diagram....

(1) like all three: given
(2) like rock and classical but not jazz: like rock and classical (given), minus (1)
(3) like rock and jazz but not classical: like rock and jazz (given), minus (1)
(4) like classical and jazz but not rock: like classical and jazz (given), minus (1)
(5) like rock only: like rock (given), minus (1), (2), and (3)
(6) like classical only: like classical (given), minus (1), (2), and (4)
(7) like jazz only: like jazz (given), minus (1), (3), and (4)
(8) like none of the three: the total number of students (given), minus (1) through (7)