46. For a given position with n applicants, m applicants are equally qualified and n − m applicants are not qualified at all. Assume that a recruitment process is considered to be fair if the probability that a qualified applicant is hired is 1/m, and the probability that an unqualified applicant is hired is 0. One fair recruitment process is to interview all applicants, identify the qualified ones, and then hire one of the m qualified applicants randomly. A second fair process, which is more efficient, is to interview applicants in a random order and employ the first qualified applicant encountered. For the fairness of the second recruitment process,

(a) present an intuitive argument;

(b) give a rigorous combinatorial proof.