यदि \(A=\{1,2,3\}\), \(B=\{1,2,3,4\}\) और \(S=\{(a,b):b>a+1\}\) है, तो \(S\subseteq A\times B\) में कितने अवयव हैं?

If \(A=\{1,2,3\}\), \(B=\{1,2,3,4\}\), and \(S=\{(a,b):b>a+1\}\), how many elements are in \(S\subseteq A\times B\)?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

For (a=1), (b=3,4); for (a=2), (b=4), giving total (3). Apply the condition to each first component.

Step 2

Why this answer is correct

The correct answer is B. (3). For (a=1), (b=3,4); for (a=2), (b=4), giving total (3). Apply the condition to each first component.

Step 3

Exam Tip

(a=1) पर (b=3,4) और (a=2) पर (b=4) मिलता है, कुल (3)। शर्त को प्रत्येक पहले अवयव पर लगाएँ।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3\}\), \(B=\{1,2,3,4\}\) और \(S=\{(a,b):b>a+1\}\) है, तो \(S\subseteq A\times B\) में कितने अवयव हैं? / If \(A=\{1,2,3\}\), \(B=\{1,2,3,4\}\), and \(S=\{(a,b):b>a+1\}\), how many elements are in \(S\subseteq A\times B\)?

Correct Answer: B. (3). Explanation: (a=1) पर (b=3,4) और (a=2) पर (b=4) मिलता है, कुल (3)। शर्त को प्रत्येक पहले अवयव पर लगाएँ। / For (a=1), (b=3,4); for (a=2), (b=4), giving total (3). Apply the condition to each first component.

Which concept should I revise for this Mathematics MCQ?

For (a=1), (b=3,4); for (a=2), (b=4), giving total (3). Apply the condition to each first component.

What exam hint can help solve this Mathematics question?

(a=1) पर (b=3,4) और (a=2) पर (b=4) मिलता है, कुल (3)। शर्त को प्रत्येक पहले अवयव पर लगाएँ।