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
Correct Answer

C. (16)

Step 1

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.

Step 2

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.

Step 3

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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Mathematics Answer, Explanation and Revision Hints

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)))?

Correct Answer: C. (16). Explanation: (\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। / (\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.

Which concept should I revise for this Mathematics MCQ?

(\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.

What exam hint can help solve this Mathematics question?

(\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।