यदि \(A=\{1,2,3,4\}\) और \(B=\{1,2,4,8\}\), तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें \(b=2^a\) है?
If \(A=\{1,2,3,4\}\) and \(B=\{1,2,4,8\}\), how many pairs ((a,b)) in \(A\times B\) satisfy \(b=2^a\)?
Explanation opens after your attempt
B. (3)
Concept
For (a=1,2,3), we get (b=2,4,8), but for (a=4), \(16\notin B\). Hence there are (3) pairs.
Why this answer is correct
The correct answer is B. (3). For (a=1,2,3), we get (b=2,4,8), but for (a=4), \(16\notin B\). Hence there are (3) pairs.
Exam Tip
(a=1,2,3) से (b=2,4,8) मिलते हैं, पर (a=4) से \(16\notin B\)। इसलिए (3) युग्म हैं।
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