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A survey of 94 college students was taken to determine the musical styles they liked. Ofthose, 26 students listened torock, 29 toclassical, and 27 to

A survey of 94 college students was taken to determine the musical styles they liked. Ofthose, 26 students listened torock, 29 toclassical, and 27 to jazz.Also, 10 students listened to rock andjazz, 12 to rock andclassical, and16 to classical and jazz.Finally, 8 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 rockmusic?

b. How many listened to classical andjazz, but notrock?

c. How many listened to classical orjazz, but notrock?

d. How many listened to music in exactly one of the musicalstyles?

e. How many listened to music in exactly two of the musicalstyles?

f. How many did not listen to any of the musicalstyles? This is the amount in region VIII.

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