rock music managers

I don’t understand this???????
There was a poll taken to determine the musical tastes of the 37 members of the 2004 National Women’s soccer team and 9 of the team managers. It found that 23 liked classical music, 24 liked soft rock music and 19 liked country music. Of all the team members, 12 liked classical and country, 13 liked classical and soft rock, and 14 liked country and soft rock. Of those team members 9 liked all three types of music. How many did not like any of these types of music?
A.14
B.7
C.10
D.9
I think the answer is B – 7.
There were 46 people interviewed altogether. 12 + 13 +14 is all the people who liked music (disregard the 9, as that is included.) That makes 39 who like music, and 7 who don’t.
Turtles
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