We can eliminate A because the passage states that no athlete is on 2 teams during one season (there is a typo in the question, "anyone").
B, however, considers that an athlete might be in both football and track, and therefore would be double-counted as two athletes being served by the program.
C is eliminated because the passage does consider that each team varies in size.
D is eliminated because the passage does consider that participants vary by season.
E is eliminated because the passage says each athlete participates in all practice sessions.
The answer is B.
Carcass wrote:
Athletic director: "Members of our sports teams included, for the fall season, 80 football players and 40 cross-country runners; for the winter season, 20 wrestlers and 40 swimmers; for the spring season, 50 track-team members and 20 lacrosse players. Each team athlete participates in his or her sport five days a week for the whole three-month season, and no athlete is on two teams during anyone season. Therefore, adding these figures, we find that our team sports program serves 250 different individual athletes."
In drawing the conclusion above, the athletic director fails to consider the relevant possibility that
(A) athletes can be on more than one team in a single season
(B) athletes can be on teams in more than one season
(C) some of the team sports require a larger number of athletes on the team than do others
(D) more athletes participate in team sports during one season than during a~other
(E) an athlete might not participate in every one of the practice sessions and athletic contests in his or her sport