Class 11 Mathematics Sets Power Set and Universal Set Expert Level 11

यदि \(A=\varnothing\) है, तो (\mathcal{P}(\mathcal{P}(\mathcal{P}(A)))) में कितने सदस्य होंगे?

If \(A=\varnothing\), how many members are there in (\mathcal{P}(\mathcal{P}(\mathcal{P}(A))))?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

(\mathcal{P}(A)) has (1) member and (\mathcal{P}(\mathcal{P}(A))) has (2) members. Hence the next power set has \(2^2=4\) members.

Step 2

Why this answer is correct

The correct answer is B. (4). (\mathcal{P}(A)) has (1) member and (\mathcal{P}(\mathcal{P}(A))) has (2) members. Hence the next power set has \(2^2=4\) members.

Step 3

Exam Tip

(\mathcal{P}(A)) में (1) सदस्य और (\mathcal{P}(\mathcal{P}(A))) में (2) सदस्य हैं। इसलिए अगले power set में \(2^2=4\) सदस्य होंगे।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\varnothing\) है, तो (\mathcal{P}(\mathcal{P}(\mathcal{P}(A)))) में कितने सदस्य होंगे? / If \(A=\varnothing\), how many members are there in (\mathcal{P}(\mathcal{P}(\mathcal{P}(A))))?

Correct Answer: B. (4). Explanation: (\mathcal{P}(A)) में (1) सदस्य और (\mathcal{P}(\mathcal{P}(A))) में (2) सदस्य हैं। इसलिए अगले power set में \(2^2=4\) सदस्य होंगे। / (\mathcal{P}(A)) has (1) member and (\mathcal{P}(\mathcal{P}(A))) has (2) members. Hence the next power set has \(2^2=4\) members.

Which concept should I revise for this Mathematics MCQ?

(\mathcal{P}(A)) has (1) member and (\mathcal{P}(\mathcal{P}(A))) has (2) members. Hence the next power set has \(2^2=4\) members.

What exam hint can help solve this Mathematics question?

(\mathcal{P}(A)) में (1) सदस्य और (\mathcal{P}(\mathcal{P}(A))) में (2) सदस्य हैं। इसलिए अगले power set में \(2^2=4\) सदस्य होंगे।