यदि \(A=\{1,2,3,4\}\), \(B=\{2,3,4,5,6\}\) और \(S=\{(a,b):b>a+2\}\) है, तो \(S\subseteq A\times B\) में कितने अवयव हैं?
If \(A=\{1,2,3,4\}\), \(B=\{2,3,4,5,6\}\), and \(S=\{(a,b):b>a+2\}\), how many elements are in \(S\subseteq A\times B\)?
Explanation opens after your attempt
Correct Answer
B. (6)
Concept
For (a=1,2,3,4), the counts of (b) are (3,2,1,0), totaling (6). Apply the condition to each first component.
Why this answer is correct
The correct answer is B. (6). For (a=1,2,3,4), the counts of (b) are (3,2,1,0), totaling (6). Apply the condition to each first component.
Exam Tip
(a=1,2,3,4) के लिए (b) के क्रमशः (3,2,1,0) मान मिलते हैं, कुल (6)। शर्त को हर पहले अवयव पर लगाएँ।
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