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) (Show Source):
You can put this solution on YOUR website!
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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)
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