यदि \(A=\{1,2,3,4\}\) और \(B=\{1,3\}\) हैं तो (A) के कितने उपसमुच्चय (B) को उपसमुच्चय के रूप में रखते हैं?
If \(A=\{1,2,3,4\}\) and \(B=\{1,3\}\), how many subsets of (A) contain (B) as a subset?
Explanation opens after your attempt
Correct Answer
B. (4)
Concept
(1) and (3) are fixed, while (2,4) are optional, so there are \(2^2=4\) subsets. When a subset must be contained, fix its elements first.
Why this answer is correct
The correct answer is B. (4). (1) and (3) are fixed, while (2,4) are optional, so there are \(2^2=4\) subsets. When a subset must be contained, fix its elements first.
Exam Tip
(1) और (3) निश्चित हैं तथा (2,4) स्वतंत्र हैं इसलिए \(2^2=4\) उपसमुच्चय होंगे। किसी उपसमुच्चय को शामिल रखना हो तो उसके अवयव पहले तय करें।
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