यदि (|A|=n), तो (A) पर कुल संबंधों की संख्या क्या होगी?
If (|A|=n), what is the total number of relations on (A)?
Explanation opens after your attempt
Correct Answer
B. \(2^{n^2}\)
Concept
A relation on (A) is a subset of \(A\times A\), and \(|A\times A|=n^2\). Hence the total number of relations is \(2^{n^2}\).
Why this answer is correct
The correct answer is B. \(2^{n^2}\). A relation on (A) is a subset of \(A\times A\), and \(|A\times A|=n^2\). Hence the total number of relations is \(2^{n^2}\).
Exam Tip
(A) पर संबंध \(A\times A\) का उपसमुच्चय है और \(|A\times A|=n^2\)। इसलिए कुल संबंध \(2^{n^2}\) हैं।
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