यदि \(A=\{a,b,c,d\}\) हो तो (A) पर कुल संबंधों की संख्या कितनी होगी?
If \(A=\{a,b,c,d\}\), how many total relations are possible on (A)?
Explanation opens after your attempt
C. \(2^{16}\)
Concept
A relation on (A) is a subset of \(A\times A\), and (n\(A\times A\)=16). Therefore total relations are \(2^{16}\).
Why this answer is correct
The correct answer is C. \(2^{16}\). A relation on (A) is a subset of \(A\times A\), and (n\(A\times A\)=16). Therefore total relations are \(2^{16}\).
Exam Tip
(A) पर संबंध \(A\times A\) का उपसमुच्चय होता है और (n\(A\times A\)=16) है। इसलिए कुल संबंध \(2^{16}\) होंगे।
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