यदि \(A=\{1,2,3,4,5,6\}\) और \(B=\{1,2,3,4,5,6\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें (a+b=7) और (a<b) दोनों हैं?

If \(A=\{1,2,3,4,5,6\}\) and \(B=\{1,2,3,4,5,6\}\), how many pairs ((a,b)) in \(A\times B\) satisfy both (a+b=7) and (a<b)?

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Correct Answer

B. (3)

Step 1

Concept

For sum (7) and (a<b), the pairs are ((1,6),(2,5),(3,4)). Apply combined conditions step by step.

Step 2

Why this answer is correct

The correct answer is B. (3). For sum (7) and (a<b), the pairs are ((1,6),(2,5),(3,4)). Apply combined conditions step by step.

Step 3

Exam Tip

योग (7) और (a<b) के लिए ((1,6),(2,5),(3,4)) मिलते हैं। संयुक्त शर्तों को क्रम से लगाएँ।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5,6\}\) और \(B=\{1,2,3,4,5,6\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें (a+b=7) और (a<b) दोनों हैं? / If \(A=\{1,2,3,4,5,6\}\) and \(B=\{1,2,3,4,5,6\}\), how many pairs ((a,b)) in \(A\times B\) satisfy both (a+b=7) and (a<b)?

Correct Answer: B. (3). Explanation: योग (7) और (a<b) के लिए ((1,6),(2,5),(3,4)) मिलते हैं। संयुक्त शर्तों को क्रम से लगाएँ। / For sum (7) and (a<b), the pairs are ((1,6),(2,5),(3,4)). Apply combined conditions step by step.

Which concept should I revise for this Mathematics MCQ?

For sum (7) and (a<b), the pairs are ((1,6),(2,5),(3,4)). Apply combined conditions step by step.

What exam hint can help solve this Mathematics question?

योग (7) और (a<b) के लिए ((1,6),(2,5),(3,4)) मिलते हैं। संयुक्त शर्तों को क्रम से लगाएँ।