Class 12 Relations And Functions · Mcq Single Correct1 Markscounting_relations
Class 12 Maths · Relations And Functions · Mcq Single Correct #41
The number of equivalence relations on \(\{1,2,3\}\) containing \((1,2)\) and \((2,1)\) is
(A) 2
(B) 3
(C) 1
(D) 4
✅ Step-by-Step Solution
Final Answer: Option (A): 2
The elements 1 and 2 must share a class. Either 3 is a separate class, giving \(\{\{1,2\},\{3\}\}\), or all three are in one class. Thus there are 2 relations.
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