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
Correct Answer

C. \(2^{16}\)

Step 1

Concept

A relation on (A) is a subset of \(A\times A\), and (n\(A\times A\)=16). Therefore total relations are \(2^{16}\).

Step 2

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 \(2^{16}\).

Step 3

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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Mathematics Answer, Explanation and Revision Hints

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)?

Correct Answer: C. \(2^{16}\). Explanation: (A) पर संबंध \(A\times A\) का उपसमुच्चय होता है और (n\(A\times A\)=16) है। इसलिए कुल संबंध \(2^{16}\) होंगे। / A relation on (A) is a subset of \(A\times A\), and (n\(A\times A\)=16). Therefore total relations are \(2^{16}\).

Which concept should I revise for this Mathematics MCQ?

A relation on (A) is a subset of \(A\times A\), and (n\(A\times A\)=16). Therefore total relations are \(2^{16}\).

What exam hint can help solve this Mathematics question?

(A) पर संबंध \(A\times A\) का उपसमुच्चय होता है और (n\(A\times A\)=16) है। इसलिए कुल संबंध \(2^{16}\) होंगे।