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On {1,2,3}, how many relations containing (1,2) and (2,3) are reflexive and transitive but not symmetric?
A2
B4
C3
D6
Answer & Solution
Correct answer: C. 3
The smallest such relation adds (1,3) and the diagonal; adding (2,1) or (3,2) alone still works, but any other addition forces symmetry, giving three.
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