यदि \(A={\varnothing,{\varnothing}}\) है, तो (n(\mathcal{P}(A))) कितना होगा?

If \(A={\varnothing,{\varnothing}}\), what is (n(\mathcal{P}(A)))?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

Set (A) has two distinct elements so its power set has \(2^2=4\) elements. Treat \(\varnothing\) and \({\varnothing}\) as different.

Step 2

Why this answer is correct

The correct answer is C. (4). Set (A) has two distinct elements so its power set has \(2^2=4\) elements. Treat \(\varnothing\) and \({\varnothing}\) as different.

Step 3

Exam Tip

(A) में दो अलग-अलग तत्व हैं इसलिए उसके घात समुच्चय में \(2^2=4\) तत्व होंगे। \(\varnothing\) और \({\varnothing}\) को अलग समझें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A={\varnothing,{\varnothing}}\) है, तो (n(\mathcal{P}(A))) कितना होगा? / If \(A={\varnothing,{\varnothing}}\), what is (n(\mathcal{P}(A)))?

Correct Answer: C. (4). Explanation: (A) में दो अलग-अलग तत्व हैं इसलिए उसके घात समुच्चय में \(2^2=4\) तत्व होंगे। \(\varnothing\) और \({\varnothing}\) को अलग समझें। / Set (A) has two distinct elements so its power set has \(2^2=4\) elements. Treat \(\varnothing\) and \({\varnothing}\) as different.

Which concept should I revise for this Mathematics MCQ?

Set (A) has two distinct elements so its power set has \(2^2=4\) elements. Treat \(\varnothing\) and \({\varnothing}\) as different.

What exam hint can help solve this Mathematics question?

(A) में दो अलग-अलग तत्व हैं इसलिए उसके घात समुच्चय में \(2^2=4\) तत्व होंगे। \(\varnothing\) और \({\varnothing}\) को अलग समझें।