Question

A survey of 75 college students was taken to determine the musical styles they liked. Of​...

A survey of 75 college students was taken to determine the musical styles they liked. Of​ those, 33 students listened to​ rock, 35 to​ classical, and 34 to jazz.​ Also, 15 students listened to rock and​ jazz, 15 to rock and​ classical, and 17 to classical and jazz.​ Finally, 7students 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.

Number of students who listened to only rock?

Classical and jazz, but not rock?

Number of students who listened to exactly one musical style?

Number of students who listened to exactly two musical styles?

Number of students who listened to none of the musical styles?

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