Question

A professor enters the lobby of a five star hotel after a tough day at work. However, a man at his table recognizes him immediately from one of his seminars that he attended, and poses him a riddle: The professor has found himself in a corridor of the hotel. There are eight rooms in total: four rooms to each side of him, each door facing the opposite. He needs to fit four executives in four of the rooms(one in each). No two people can be in adjacent or opposite rooms. In how many ways can he fit them?

Answer 1

Answer:

there will be only 2 ways. no other solution is possible.