JEE 2025 — Mathematics PYQJEE | Mathematics | 2025The number of non-empty equivalence relations on the set {1, 2, 3} is:Choose the correct answer:A. 6B. 7C. 5 (Correct Answer)D. 4Correct Answer: 5ExplanationA = {1, 2, 3} non-empty equivalent relationR1 = {(1, 1), (2, 2), (3, 3)}R2 = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1)}R3 = {(1, 1), (2, 2), (3, 3), (2,3), (3, 2)}R4 = {(1, 1), (2, 2), (3, 3), (1, 3), (3, 1)}R5 = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1), (1, 3), (3, 1), (2,3), (3, 2)}Number of relation = 5A6B7C5D4Show Answer SExplanationA = {1, 2, 3} non-empty equivalent relationR1 = {(1, 1), (2, 2), (3, 3)}R2 = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1)}R3 = {(1, 1), (2, 2), (3, 3), (2,3), (3, 2)}R4 = {(1, 1), (2, 2), (3, 3), (1, 3), (3, 1)}R5 = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1), (1, 3), (3, 1), (2,3), (3, 2)}Number of relation = 5
