The qualified applicant pool for four management trainee positions consists of six women and five 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 four are equally likely, what
is the probability that the trainee class will consist entirely of
women? (Round your answer to four decimal places.)
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