We have 34 cakes. Each box can hold 5 cakes only. How many boxes we need to pack and how many cakes are unpacked?

Five balls of different color are to be placed in three boxes of different size. Each box can hold all five. In how many different ways can we placed the balls so that no box remains empty?

Three men have 4 coats, 5 waist coats and 6 caps. In how many ways can they wear them?

A person tries to form as many different parties as he can, out of his 20 friends. Each party should consist of the same number. How many friends should be invited at a time? In how many of these parties would the same friends be found?

How many pairs of Thoracic nerves do we have ?

How many great circles can a sphere have?

In how many ways 5 persons can be seated in a row ?

In a group of 500 people, 350 speak Hindi and 300 speak English. It is given that each person speaks at least one language. (i) How many people can speak both Hindi and English? (ii) How many people can speak Hindi only? (iii) How many people can speak English only?

A number of four different digits is formed with the use of the digits 1,2,3,4 and 5 in all possible ways. Find the following (i) How many such numbers can be formed? (ii) How many of these are even? (iii) How many of these are exactly divisible by 4?