There are four hotels in a town. If 3 men check into the hotels in a day then what is the probability that each checks into a different hotel?

Question: There are four hotels in a town. If 3 men check into the hotels in a day then what is the probability that each checks into a different hotel?

Solution:
Total cases of checking in the hotels = 4 × 4 × 4 = 64 ways.
Cases when 3 men are checking in different hotels = 4 × 3 × 2 = 24 ways.

Required probability = 24/64
= 3/8