JEE Advanced 2024 Paper 2 Mathematics Q14

Mathematics

Problem

Paragraph I: Let S = {1, 2, 3, 4, 5, 6} and X be the set of all relations R from S to S that satisfy both the following properties: (i) R has exactly 6 elements; (ii) for each (a, b) ∈ R, |a − b| ≥ 2. Let Y = {R ∈ X : the range of R has exactly one element} and Z = {R ∈ X : R is a function from S to S}. Let n(A) denote the number of elements in a set A. If n(X) = ᵐC₆, then the value of m is ________.

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