JEE Advanced 2025 Mathematics question
Let the set of all relations R on the set {a, b, c, d, e, f}, such that R is reflexive and symmetric, and R contains exactly 10 elements, be denoted by 𝒮. Then the number of elements in 𝒮 is .
Answer: 105
Solution
Reflexivity forces all 6 diagonal pairs (x, x) into R, leaving 4 more elements. Symmetry means off-diagonal pairs come in
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