यदि (|A|=4) है, तो (\mathcal{P}(\mathcal{P}(A))) में singleton members कितने होंगे?
If (|A|=4), how many singleton members are there in (\mathcal{P}(\mathcal{P}(A)))?
Explanation opens after your attempt
C. (16)
Concept
(\mathcal{P}(A)) has \(2^4=16\) members, so its power set has (16) singleton members. In exams, the number of singleton members equals the cardinality of the base set.
Why this answer is correct
The correct answer is C. (16). (\mathcal{P}(A)) has \(2^4=16\) members, so its power set has (16) singleton members. In exams, the number of singleton members equals the cardinality of the base set.
Exam Tip
(\mathcal{P}(A)) में \(2^4=16\) सदस्य हैं, इसलिए उसके power set में (16) singleton members होंगे। परीक्षा में singleton members की संख्या base set की cardinality होती है।
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