36 identical chairs must be arranged in rows with the same number of chairs in each row.  Each row must contain at least 3 chairs and there must be at least 3 rows.  A row is parallel to the front of the room.  How many different arrangements are possible?

There is certain numbers of toys in the box. They are divided into such a way that the person who gets 1/4 of the whole gets thrice of what the others get on an average. Find the number of people amongst whom the toys are distributed?

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?