style=”background-color:transparent;color:rgb(0,0,0);”> college students was taken to determine the musical styles they liked. Of those, 26 students listened torock, 29 to classical, and 27 to jazz. Also, 10 students listened to rock and jazz, 12 to rock and classical, and16 to classical and jazz. Finally, 8 students listened to all three musical styles.
A survey of 94
style=”background-color:transparent;color:rgb(0,0,0);”> college students was taken to determine the musical styles they liked. Of those, 26 students listened torock, 29 to classical, and 27 to jazz. Also, 10 students listened to rock and jazz, 12 to rock and classical, 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 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 exactly two of the musical styles?
f. How many did not listen to any of the musical styles? This is the amount in region VIII.
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