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MathsHardNumerical2023 · 12 Apr Shift 1

Q74.The number of relations, on the set {1, 2, 3} containing (1, 2) and (2, 3) which are reflexive and transitive but not symmetric, is _________. . If B = , then the sum of all the elements of the matrix ∑50n=1 Bn is [−1 −1 ] A[ 1 1 ]

What This Question Tests

This problem requires systematically counting relations on a small set that satisfy specific properties (reflexive, transitive, not symmetric) by considering the necessary and excluded ordered pairs.

Concepts Tested

Reflexive relationSymmetric relationTransitive relationCounting relations

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