यदि \(A=\{1,2,3,4,5,6\}\) और \(B=\{1,2,3\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें \(a\ge2b+1\) है?
If \(A=\{1,2,3,4,5,6\}\) and \(B=\{1,2,3\}\), how many pairs ((a,b)) in \(A\times B\) satisfy \(a\ge2b+1\)?
Explanation opens after your attempt
B. (6)
Concept
For (b=1,2,3), the counts of (a) are (4,2,0), totaling (6). The boundary changes for each (b).
Why this answer is correct
The correct answer is B. (6). For (b=1,2,3), the counts of (a) are (4,2,0), totaling (6). The boundary changes for each (b).
Exam Tip
(b=1,2,3) के लिए (a) के क्रमशः (4,2,0) मान मिलते हैं, कुल (6)। सीमा हर (b) पर बदलती है।
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