Concept explainers
In Exercises 43-48, construct a Venn diagram and determine the cardinality for each region. Use the completed Venn diagram to answer the questions.
A survey of 80 college students was taken to determine the musical styles they listened to. Forty-two students listened to rock, 34 to classical, and 27 to jazz. Twelve students listened to rock and jazz, 14 to rock and classical, and 10 to classical and jazz. Seven students listened to all three musical styles.
Of those surveyed,
a. How many listened to only rock music?
b. How many listened to classical and jazz, but not rock?
c. How many listened to classical or jazz, but not rock?
d. How many listened to music in exactly one of the musical styles?
e. How many listened to music in at least two of the musical styles?
f. How many did not listen to any of the musical styles?
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