The qualified applicant pool for five management trainee positions consists of e

Question

The qualified applicant pool for five management trainee positions consists of eight women and six 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.)

Explanation / Answer

Ans:

Total applicants=8+6=14

a)We have to select 5 out of 14,so there will be 14C5 ways=(14*13*12*11*10)/(5*4*3*2*1)=2002

b)If only women have to be selected,then there will be 8C5 ways=(8*7*6*5*4)/(5*4*3*2*1)=56

c)Probabiliy that all are women=8C5/14C5=56/2002=0.0280

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