JEE Main 2025 Mathematics question
Let A = {1, 2, 3}. The number of relations on A, containing (1, 2) and (2, 3), which are reflexive and transitive but not symmetric, is .
Answer: 3
Solution
By transitivity (1,3) must be included; reflexive pairs (1,1),(2,2),(3,3) must be included. Considering (2,1),(3,2)
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