Suppose 6 female and 5 male applicants have been successfully screened for 5 positions_ In how many ways can be made if they should hire at least 3 females? From list of 40 teachers, 5 are to be promoted to head teachers. In how many ways can be done? 10. A man is t0 walk from A to B along any of the paths shown, if he only walks North or East; how many different routes can he take?