Thirty-three U.S. cities were re-searched to determine whether they had a professional sports team, a symphony, or a children’s museum. The following information was determined.

16 had a professional sports team.

17 had a symphony.

15 had a children’s museum.

11 had a professional sports team and a symphony.

7  had a professional sports team and a children’s museum.

9 had a symphony and children’s museum.

5 had all three activities.

How many of the cities surveyed had

(a) Only a professional sports team?

(b) A professional sports team and a symphony, but not a children’s museum?

(c) A professional sports team or a symphony?

(d) A professional sports team or a symphony, but not a children’s museum?

(e) Exactly two of the activities?

Draw a Venn diagram to obtain the answers.