समुच्चय \(A=\{1,2,3,4\}\) पर प्रतिवर्ती संबंधों की संख्या कितनी है?
How many reflexive relations are there on \(A=\{1,2,3,4\}\)?
Explanation opens after your attempt
Correct Answer
A. \(2^{12}\)
Concept
There are \(4^2=16\) ordered pairs, and (4) diagonal pairs are compulsory. Thus (12) pairs are optional, giving \(2^{12}\).
Why this answer is correct
The correct answer is A. \(2^{12}\). There are \(4^2=16\) ordered pairs, and (4) diagonal pairs are compulsory. Thus (12) pairs are optional, giving \(2^{12}\).
Exam Tip
कुल ordered pairs \(4^2=16\) हैं और (4) diagonal pairs अनिवार्य हैं। अतः वैकल्पिक pairs (12) हैं, इसलिए \(2^{12}\)।
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