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A survey of 84 college students was taken to determine the musical styles they liked....

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A survey of 84 college students was taken to determine the musical styles they liked. Of those, 34 students listened to rock, 36 to classical, and 34 to jazz. Also, 15 students listened to rock ajazz, 20 to rock and classical, and 18 to classical and jazz. Finally, 10 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.a. How many listened to only rock music?n(only rock)=b. How many listened to classical and jazz, but not rock?n(classical and jazz, not rock) =c. How many listened to classical or jazz, but not rock?n(classical or jazz, not rock) =d. How many listened to music in exactly one of the musical styles?n(exactly one style) =e. How many listened to music in exactly two of the musical styles?n(exactly two styles) =f. How many did not listen to any of the musical styles?

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