यदि \(A=\{1,2\}\), \(B=\{1,2,3,4,5,6\}\), तो कितने (X) ऐसे हैं कि \(A\subseteq X\subseteq B\)?
If \(A=\{1,2\}\), \(B=\{1,2,3,4,5,6\}\), how many (X) satisfy \(A\subseteq X\subseteq B\)?
Explanation opens after your attempt
Correct Answer
C. (16)
Concept
Elements (1,2) are fixed and (3,4,5,6) are optional. Thus \(2^4=16\) sets are possible.
Why this answer is correct
The correct answer is C. (16). Elements (1,2) are fixed and (3,4,5,6) are optional. Thus \(2^4=16\) sets are possible.
Exam Tip
(1,2) निश्चित हैं और (3,4,5,6) वैकल्पिक हैं। इसलिए \(2^4=16\) समुच्चय मिलते हैं।
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