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

यदि \(A={\emptyset,1}\) है तो (n(\mathcal{P}(A))) कितना होगा?

If \(A={\emptyset,1}\) then what is (n(\mathcal{P}(A)))?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

Here (A) has two elements which are \(\emptyset\) and (1). Therefore there are \(2^2=4\) subsets.

Step 2

Why this answer is correct

The correct answer is C. (4). Here (A) has two elements which are \(\emptyset\) and (1). Therefore there are \(2^2=4\) subsets.

Step 3

Exam Tip

यहां (A) में दो तत्व हैं जो \(\emptyset\) और (1) हैं। इसलिए \(2^2=4\) उपसमुच्चय होंगे।

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यदि \(A={\emptyset,1}\) है तो (n(\mathcal{P}(A))) कितना होगा? / If \(A={\emptyset,1}\) then what is (n(\mathcal{P}(A)))?

Correct Answer: C. (4). Explanation: यहां (A) में दो तत्व हैं जो \(\emptyset\) और (1) हैं। इसलिए \(2^2=4\) उपसमुच्चय होंगे। / Here (A) has two elements which are \(\emptyset\) and (1). Therefore there are \(2^2=4\) subsets.

Which concept should I revise for this Mathematics MCQ?

Here (A) has two elements which are \(\emptyset\) and (1). Therefore there are \(2^2=4\) subsets.

What exam hint can help solve this Mathematics question?

यहां (A) में दो तत्व हैं जो \(\emptyset\) और (1) हैं। इसलिए \(2^2=4\) उपसमुच्चय होंगे।