यदि \(A=\{1,2,3\}\) है, तो (A) पर कुल कितने संबंध हो सकते हैं?
If \(A=\{1,2,3\}\), how many relations can be formed on (A)?
Explanation opens after your attempt
Correct Answer
C. \(2^9\)
Concept
There are \(3^2=9\) pairs in \(A\times A\), and they form \(2^9\) subsets. The number of relations is \(2^{n(A)^2}\).
Why this answer is correct
The correct answer is C. \(2^9\). There are \(3^2=9\) pairs in \(A\times A\), and they form \(2^9\) subsets. The number of relations is \(2^{n(A)^2}\).
Exam Tip
\(A\times A\) में \(3^2=9\) pairs होते हैं और उनके \(2^9\) subsets बनते हैं। संबंधों की संख्या \(2^{n(A)^2}\) होती है।
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