रिक्त समुच्चय के घात समुच्चय में कितने तत्व होते हैं?

How many elements are in the power set of the empty set?

Explanation opens after your attempt
Correct Answer

B. (1)

Step 1

Concept

The empty set has only one subset which is \(\emptyset\). Hence (\mathcal{P}\(\emptyset\)) has (1) element.

Step 2

Why this answer is correct

The correct answer is B. (1). The empty set has only one subset which is \(\emptyset\). Hence (\mathcal{P}\(\emptyset\)) has (1) element.

Step 3

Exam Tip

रिक्त समुच्चय का केवल एक उपसमुच्चय \(\emptyset\) होता है। इसलिए (\mathcal{P}\(\emptyset\)) में (1) तत्व है।

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Mathematics Answer, Explanation and Revision Hints

रिक्त समुच्चय के घात समुच्चय में कितने तत्व होते हैं? / How many elements are in the power set of the empty set?

Correct Answer: B. (1). Explanation: रिक्त समुच्चय का केवल एक उपसमुच्चय \(\emptyset\) होता है। इसलिए (\mathcal{P}\(\emptyset\)) में (1) तत्व है। / The empty set has only one subset which is \(\emptyset\). Hence (\mathcal{P}\(\emptyset\)) has (1) element.

Which concept should I revise for this Mathematics MCQ?

The empty set has only one subset which is \(\emptyset\). Hence (\mathcal{P}\(\emptyset\)) has (1) element.

What exam hint can help solve this Mathematics question?

रिक्त समुच्चय का केवल एक उपसमुच्चय \(\emptyset\) होता है। इसलिए (\mathcal{P}\(\emptyset\)) में (1) तत्व है।