Class 12 Relations And Functions · Mcq Single Correct1 Markscounting_relations
Class 12 Maths · Relations And Functions · Mcq Single Correct #33
The number of reflexive relations on a set with four elements is equal to
(A) \(2^{16}\)
(B) \(2^{12}\)
(C) \(2^8\)
(D) \(2^4\)
✅ Step-by-Step Solution
Final Answer: Option (B): \(2^{12}\)
Of the \(4^2=16\) ordered pairs, the 4 diagonal pairs are compulsory; the remaining 12 can be included independently. Thus there are \(2^{12}\) relations.
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