समुच्चय \(A=\{1,2,3\}\) पर सममित संबंधों की संख्या कितनी है?
How many symmetric relations are possible on \(A=\{1,2,3\}\)?
Explanation opens after your attempt
Correct Answer
A. \(2^6\)
Concept
For a symmetric relation, (3) diagonal pairs and (3) unordered off-diagonal pair blocks are independently chosen. Thus there are (6) choices, giving \(2^6\).
Why this answer is correct
The correct answer is A. \(2^6\). For a symmetric relation, (3) diagonal pairs and (3) unordered off-diagonal pair blocks are independently chosen. Thus there are (6) choices, giving \(2^6\).
Exam Tip
सममित संबंध में (3) diagonal pairs स्वतंत्र हैं और (3) unordered off-diagonal pair blocks स्वतंत्र हैं। कुल स्वतंत्र चुनाव (6) हैं, इसलिए \(2^6\)।
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