38 cities were researched to determine whether they had a professional sports team, a symphony, or a children's museum. Of these cities, 20 had a professional sports team, 20 had a symphony, 13 had a children's museum, 13 had a professional sports team and a symphony, 6 had a professional sports team and a children's museum, 9 had a symphony and a children's museum, and 4 had all three activities. Complete parts a) through e) below.
How many of the cities surveyed had only a professional sports team?
How many of the cities surveyed had only a professional sports team?
How many of the cities surveyed had a professional sports team or a symphony?
How many of the cities surveyed had a professional sports team or a symphony, but not a children's museum?
How many of the cities surveyed had exactly two of the activities?