यदि \(A=\{1,2,3,4\}\), तो (\mathcal{P}(A)) के कितने तत्व ({1,2,3}) के उपसमुच्चय हैं लेकिन ({1}) के अधिसमुच्चय नहीं हैं?
If \(A=\{1,2,3,4\}\), how many elements of (\mathcal{P}(A)) are subsets of ({1,2,3}) but not supersets of ({1})?
Explanation opens after your attempt
B. (4)
Concept
The subset of ({1,2,3}) must not contain (1). Subsets formed only from (2,3) give \(2^2=4\) choices.
Why this answer is correct
The correct answer is B. (4). The subset of ({1,2,3}) must not contain (1). Subsets formed only from (2,3) give \(2^2=4\) choices.
Exam Tip
({1,2,3}) के उपसमुच्चय में (1) नहीं होना चाहिए। केवल (2,3) से बनने वाले \(2^2=4\) उपसमुच्चय मिलेंगे।
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