A survey of 79 college students was taken to determine the musical styles they liked. Of those,31 students listened to rock,29 to classical, and 26 to jazz. Also,13 students listened to rock and jazz,16 to rock and classical, and

8 to classical and jazz. Finally, 6 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?