In how many ways can 5 students be seated on a bench?

In how many ways can 5 boys be seated at a round table?

In how many ways can 5 girls and 3 boys be seated in a row so that no two boys are together?

In how many ways can 5 men and 4 women be seated at a round table if each woman is to be between two men?

10 persons are invited for a party In how many ways can they and the host be seated at a circular table?

Consider 12 points on a plane of which five are collinear. In how many ways can 3 points be selected out of 12?

In how many ways can 5 children stand in a queue?

If 20 persons were invited for a party, in how many ways can they and the host be seated at a circular table? In how many of these ways will two particular persons be seated on either side of the host?

In how many ways can a group of 12 students be selected from 15 students? How many of these groups would include one particular student?

A family of 4 males and 3 females are to be arranged in a row for a photograph. In how many ways can they be seated if (a) all the females sit together (b) all females are seperated.

In an examination, a question paper consists of 12 questions divided into two parts ie, part I and part II, containing 5 and 7 questions respectively. A student is required to attempt 8 questions in all, selecting at least 3 from each part. In how many ways can the student select the questions?