Problem #PRU-100439

Problems Discrete Mathematics Set theory and logic Mathematical logic

Problem

lbert (A), his wife Beatrix (B), and their children Charlie (C), Dan (D) and Elizabeth (E) live in a bungalow. They have a really nice TV set. It is known that

1) If A is watching the TV, then B is watching the TV.

2) At least one of D and E is watching the TV.

3) Only one of B and C is watching the TV.

4) Either C and D are watching the TV together, or both are not watching.

5) If E is watching the TV, then both A and D are also watching the TV. Can you tell who is watching the TV in this family and who is not?