PLease Help! I will give you the brainiest and a lot of points! A survey of 127 college students was taken to determine the musical styles they liked. Of​ those, 47 students listened to​ rock, 36 to​ classical, and 32 to jazz.​ Also, 19 students listened to rock and​ jazz, 22 to rock and​ classical, and 14 to classical and jazz.​ Finally, 9 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?
n​(none)

Adice is rolled 5 times. how many possible rolls are there? ( determine the number of outcomes using only the fundamental counting principal )

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