यदि \(A=\{1,2,3,4,5\}\) है, तो (\mathcal{P}(A)) में ऐसे subsets कितने हैं जिनका cardinality (2) से अधिक है?
If \(A=\{1,2,3,4,5\}\), how many subsets in (\mathcal{P}(A)) have cardinality greater than (2)?
Explanation opens after your attempt
Correct Answer
A. (16)
Concept
Total subsets are \(2^5=32\), and those of sizes (0,1,2) are (1+5+10=16), so the answer is (16). In exams, use complement counting.
Why this answer is correct
The correct answer is A. (16). Total subsets are \(2^5=32\), and those of sizes (0,1,2) are (1+5+10=16), so the answer is (16). In exams, use complement counting.
Exam Tip
कुल \(2^5=32\) subsets हैं और sizes (0,1,2) वाले (1+5+10=16) हैं, इसलिए उत्तर (16) है। परीक्षा में complement counting करें।
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