यदि \(A=\{1,2,3\}\) हो तो (A) पर सममित संबंधों की संख्या कितनी है?
If \(A=\{1,2,3\}\), how many symmetric relations are possible on (A)?
Explanation opens after your attempt
Correct Answer
B. \(2^6\)
Concept
There are (3) diagonal pairs and (3) unordered off-diagonal pairs. Hence the total count is \(2^{3+3}=2^6\).
Why this answer is correct
The correct answer is B. \(2^6\). There are (3) diagonal pairs and (3) unordered off-diagonal pairs. Hence the total count is \(2^{3+3}=2^6\).
Exam Tip
विकर्ण के (3) युग्म और अविकर्ण युग्मों के (3) जोड़े स्वतंत्र हैं। इसलिए कुल संख्या \(2^{3+3}=2^6\) है।
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