यदि \(A=\{1,2,3\}\) और \(B=\{1,2,3,4,5\}\) हैं, तो कितने समुच्चय (X) ऐसे हैं कि \(A\subseteq X\subseteq B\)?
If \(A=\{1,2,3\}\) and \(B=\{1,2,3,4,5\}\), how many sets (X) satisfy \(A\subseteq X\subseteq B\)?
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Correct Answer
B. (4)
Concept
The elements of (A) are fixed in (X), while (4,5) are optional. Hence \(2^2=4\) sets are possible.
Why this answer is correct
The correct answer is B. (4). The elements of (A) are fixed in (X), while (4,5) are optional. Hence \(2^2=4\) sets are possible.
Exam Tip
(X) में (A) के सदस्य निश्चित हैं और (4,5) वैकल्पिक हैं। इसलिए \(2^2=4\) समुच्चय बनेंगे।
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