Forty five cities were researched to determine whether they had a professional sports team, a symphony, or a children's museum. Of these cities, 24 had a professional sports team, 23 had a symphony, 21 had a children's museum, 15 had a professional sports team and a symphony, 10 had a professional sports team and a children's museum, 12 had a symphony and a children's museum, and 6 had all three activities. Complete parts a) through e)
a) How many of the cities surveyed had only a professional sports team?
b) How many of the cities surveyed had a professional sports team and a symphony, but not a children's museum?
c) How many of the cities surveyed had a professional sports team or a symphony?
d) How many of the cities surveyed had a professional sports team or a symphony, but not a children's museum?
e) How many of the cities surveyed had exactly two of the activities?
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