Option (a) is correct.

If we analyze the propositions:

A. All football players are rich persons.

B. No football players are rich persons.

C. Some football players are rich persons.

D. Some football players are not rich persons.

Propositions A and B are contradictory. If proposition A is true (all football players are rich), then proposition B (no football players are rich) cannot be true. Similarly, if proposition B is true, proposition A cannot be true. Therefore, propositions A and B cannot both be true, although they both may be false.

विकल्प (a) सही है।

वाक्यों के विरोध संबंध के आधार पर विपरीत कथन (A और E) इस निर्णय पर आधारित है कि दोनों सही नहीं हो सकते है, यद्यपि वे दोनों गलत हो सकते हैं।