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Let A = {1, 2, 3}. Then number of equiva...

Let `A = {1, 2, 3}`. Then number of equivalence relations containing (1, 2) is (A) 1 (B) 2 (C) 3 (D) 4

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To solve the problem, we need to find the number of equivalence relations on the set \( A = \{1, 2, 3\} \) that contain the pair \( (1, 2) \). ### Step-by-step Solution: 1. **Understanding Equivalence Relations**: An equivalence relation must satisfy three properties: reflexivity, symmetry, and transitivity. 2. **Reflexivity**: ...
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