How many relations are there on a set with n elements that are symmetric and a set with n elements that are reflexive and symmetric?

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Mr. Dubey

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📊 Discrete Structure (DS)

Q. How many relations are there on a set with n elements that are symmetric and a set with n elements that are reflexive and symmetric?

(A) 2n(n+1)/2 and 2n.3n(n–1)/2
(B) 3n(n–1)/2 and 2n(n–1)
(C) 2n(n+1)/2 and 3n(n–1)/2
(D) 2n(n+1)/2 and 2n(n–1)/2

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✅ Correct Answer: (D) 2n(n+1)/2 and 2n(n–1)/2

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