The Qualified Applicant Pool for Three Management Trainee Positions Consists

Multiple Choice

The qualified applicant pool for three management trainee positions consists of seven men and six women. If the applicants are equally qualified and the trainee positions are selected by drawing the names at random so that all groups of three are equally likely, what is the probability that the trainee class will consist entirely of men? Round your answer to the nearest thousandth.

A) 0.007
B) 0.073
C) 0.122
D) 0.003
E) none of these choices