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JEE Main 2024 Mathematics question

MathematicsSets and RelationJEE Main 2024

Let A = {1, 2, 3, 4} and R = {(1, 2), (2, 3), (1, 4)} be a relation on A. Let S be the equivalence relation on A such that R ⊂ S and the number of elements in S is n. Then, the minimum value of n is .

Answer: 16

Solution

S must be reflexive, symmetric and transitive and contain R. Since (1, 2), (2, 3), (1, 4) connect

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Question ID VK-017459