The qualified applicant pool for five management trainee positions consists of six women and four men.

(a) How many different groups of applicants can be selected for the positions?

(b) How many different groups of trainees would consist entirely of women?

(c) Probability extension: If the applicants are equally qualified and the trainee positions are selected by drawing the names at random so that all groups of five are equally likely, what is the probability that the trainee class will consist entirely of women? (Round your answer to four decimal places.)