A survey of 118 college students was taken to determine the musical styles they liked. Of those, 32 students listened to rock, 36 to classical, and 27 to jazz. Also, 13 students listened to rock and jazz, 20 to rock and classical, and 16 to classical and jazz. Finally, 10 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 $)=9$
b. How many listened to classical and jazz, but not rock?
$n($ classical and jazz, not rock $)=6$
c. How many listened to classical or jazz, but not rock?
$n($ classical or jazz, not rock $)=24$
d. How many listened to music in exactly one of the musical styles?
$n($ exactly one style $)=27$
e. How many listened to music in exactly two of the musical styles?
$n($ exactly two styles $)=$

Step 1 ：Given that 13 students listened to rock and jazz, 20 students listened to rock and classical, 16 students listened to classical and jazz, and 10 students listened to all three styles.

Step 2 ：To find the number of students who listened to exactly two styles of music, we need to subtract the number of students who listened to all three styles from the number of students who listened to each pair of styles.

Step 3 ：Let's denote the number of students who listened to rock and jazz as \(rock\_and\_jazz\), the number of students who listened to rock and classical as \(rock\_and\_classical\), the number of students who listened to classical and jazz as \(classical\_and\_jazz\), and the number of students who listened to all three styles as \(all\_three\).

Step 4 ：So, \(rock\_and\_jazz = 13\), \(rock\_and\_classical = 20\), \(classical\_and\_jazz = 16\), and \(all\_three = 10\).

Step 5 ：Then, the number of students who listened to exactly two styles, denoted as \(exactly\_two\_styles\), can be calculated as \(rock\_and\_jazz + rock\_and\_classical + classical\_and\_jazz - 3 * all\_three\).

Step 6 ：Substitute the given values into the equation, we get \(exactly\_two\_styles = 13 + 20 + 16 - 3 * 10 = 19\).

Step 7 ：Final Answer: The number of students who listened to exactly two styles of music is \(\boxed{19}\).