यदि \(A=\{1,2,3,4\}\) और \(R=\{(a,b):a\ne b\}\) है, तो (R) में कितने pairs होंगे?

If \(A=\{1,2,3,4\}\) and \(R=\{(a,b):a\ne b\}\), how many pairs will be in (R)?

Explanation opens after your attempt
Correct Answer

C. (12)

Step 1

Concept

There are (16) pairs in \(A\times A\), and (4) diagonal pairs are removed. So (16-4=12) pairs remain.

Step 2

Why this answer is correct

The correct answer is C. (12). There are (16) pairs in \(A\times A\), and (4) diagonal pairs are removed. So (16-4=12) pairs remain.

Step 3

Exam Tip

\(A\times A\) में (16) pairs हैं और (4) diagonal pairs हटेंगे। इसलिए (16-4=12) pairs बचेंगे।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4\}\) और \(R=\{(a,b):a\ne b\}\) है, तो (R) में कितने pairs होंगे? / If \(A=\{1,2,3,4\}\) and \(R=\{(a,b):a\ne b\}\), how many pairs will be in (R)?

Correct Answer: C. (12). Explanation: \(A\times A\) में (16) pairs हैं और (4) diagonal pairs हटेंगे। इसलिए (16-4=12) pairs बचेंगे। / There are (16) pairs in \(A\times A\), and (4) diagonal pairs are removed. So (16-4=12) pairs remain.

Which concept should I revise for this Mathematics MCQ?

There are (16) pairs in \(A\times A\), and (4) diagonal pairs are removed. So (16-4=12) pairs remain.

What exam hint can help solve this Mathematics question?

\(A\times A\) में (16) pairs हैं और (4) diagonal pairs हटेंगे। इसलिए (16-4=12) pairs बचेंगे।