a hallway, there are three doors which allow access to three different
rooms. These three doors are numbered 1, 2, and 3. Furthermore, there is a poster on each door
that has a claim. One of the rooms is empty while the other two rooms contain a crazy person and
a murderer, respectively.
The poster on the door of the room of the crazy person says the truth and the one on the door of
the murderer lies. However, we do not know whether the poster on the door of the empty room
says the truth. Here are the three posters:
1
Room 3 is empty
2
The murderer is in room 1
3
This room is empty
1. In which rooms are the crazy person and the murderer located?
2. Explain your answer. [Hint: You should discuss all possible scenarios and show that only
one of them corresponds to the solution for this problem.]
Now, let us assume that the three posters are as follows:
1
The murderer is in room 1
2
Room 3 is empty
3
This room is empty
3. Check whether there is any solution.
If so, show your solution. Otherwise, explain why.