One of the requirements for admission to the Alpha Basketball Club is a high degree of skill in basketball. The club trustee has expressed concern that the club may have discriminated against qualified women in its admissions this year. Yet half of the applicants admitted to the club this year were women. Hence, it can be concluded that there was no discrimination against qualified women applicants in the club's admissions this year.Which one of the following is an assumption on which the conclusion of the argument depends?

As per the argument, since half of the applications accepted this year for the basketball club, requiring a certain degree of skill in basketball, are women, there was no discrimination against qualified women applicants in the club's admissions this year. This would be true only if the number of eligible women applicants who applied for the club membership was not more than half of the intake, as otherwise the women intake should have been higher to make the club discrimination free. The same assumption is given in option (b).Thus, option (2) is the right answer.