यदि \(U=\{1,2,3,4\}\) और \(A=\emptyset\) है तो (\mathcal{P}(A')) में कितने तत्व होंगे?

If \(U=\{1,2,3,4\}\) and \(A=\emptyset\), how many elements will be in (\mathcal{P}(A'))?

Explanation opens after your attempt
Correct Answer

D. (16)

Step 1

Concept

When \(A=\emptyset\), (A'=U). Here (U) has (4) elements so the power set has \(2^4=16\) elements.

Step 2

Why this answer is correct

The correct answer is D. (16). When \(A=\emptyset\), (A'=U). Here (U) has (4) elements so the power set has \(2^4=16\) elements.

Step 3

Exam Tip

जब \(A=\emptyset\) हो तो (A'=U) होता है। यहां (U) में (4) तत्व हैं इसलिए \(2^4=16\) तत्व मिलेंगे।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\{1,2,3,4\}\) और \(A=\emptyset\) है तो (\mathcal{P}(A')) में कितने तत्व होंगे? / If \(U=\{1,2,3,4\}\) and \(A=\emptyset\), how many elements will be in (\mathcal{P}(A'))?

Correct Answer: D. (16). Explanation: जब \(A=\emptyset\) हो तो (A'=U) होता है। यहां (U) में (4) तत्व हैं इसलिए \(2^4=16\) तत्व मिलेंगे। / When \(A=\emptyset\), (A'=U). Here (U) has (4) elements so the power set has \(2^4=16\) elements.

Which concept should I revise for this Mathematics MCQ?

When \(A=\emptyset\), (A'=U). Here (U) has (4) elements so the power set has \(2^4=16\) elements.

What exam hint can help solve this Mathematics question?

जब \(A=\emptyset\) हो तो (A'=U) होता है। यहां (U) में (4) तत्व हैं इसलिए \(2^4=16\) तत्व मिलेंगे।