यदि \(A={\emptyset}\) है तो (\mathcal{P}(A)) में कितने तत्व होंगे?

If \(A={\emptyset}\), how many elements will (\mathcal{P}(A)) have?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

(A) has one element which is \(\emptyset\). Hence it has \(2^1=2\) subsets.

Step 2

Why this answer is correct

The correct answer is B. (2). (A) has one element which is \(\emptyset\). Hence it has \(2^1=2\) subsets.

Step 3

Exam Tip

(A) में एक तत्व है जो \(\emptyset\) है। इसलिए उपसमुच्चय \(2^1=2\) होंगे।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A={\emptyset}\) है तो (\mathcal{P}(A)) में कितने तत्व होंगे? / If \(A={\emptyset}\), how many elements will (\mathcal{P}(A)) have?

Correct Answer: B. (2). Explanation: (A) में एक तत्व है जो \(\emptyset\) है। इसलिए उपसमुच्चय \(2^1=2\) होंगे। / (A) has one element which is \(\emptyset\). Hence it has \(2^1=2\) subsets.

Which concept should I revise for this Mathematics MCQ?

(A) has one element which is \(\emptyset\). Hence it has \(2^1=2\) subsets.

What exam hint can help solve this Mathematics question?

(A) में एक तत्व है जो \(\emptyset\) है। इसलिए उपसमुच्चय \(2^1=2\) होंगे।