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JEE Advanced 2026 Mathematics question

MathematicsSets and RelationJEE Advanced 2026

Let S = {1, 2, 3, … , 10} . Consider the set X = {R : R is an equivalence relation on the set S such that R has exactly 42 elements} . Then the number of elements in X is .

Answer: 2520

Solution

An equivalence relation corresponds to a partition of S into classes of sizes with , and |R| = . We need : the only

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Question ID VK-104713