Seven athletes are participating in a race. In how many ways can the first three athletes win the prizes?

10 students compete in a race. In how many ways first two prizes be given?

In how many ways, can the letters of the word "HEXAGON" be permuted?

In how many ways can 8 students be arranged in a row?

In how many ways can 6 persons stand in a queue?

Four children are running a race . (i) In how many ways can the first two places be filled ? (ii) In how many different ways could they finish the race ?

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

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

A gentleman wants to invite 6 friends. In how many ways can he send invitation cards to them, if he three servants to deliver the cards ?