Class 11 Mathematics Sets Power Set and Universal Set Easy Level 12

यदि \(A={\emptyset,5,10}\) है तो (n(\mathcal{P}(A))) कितना होगा?

If \(A={\emptyset,5,10}\), what is (n(\mathcal{P}(A)))?

Explanation opens after your attempt
Correct Answer

C. (8)

Step 1

Concept

Here \(\emptyset\) is also one element so (A) has (3) elements. Thus there are \(2^3=8\) subsets.

Step 2

Why this answer is correct

The correct answer is C. (8). Here \(\emptyset\) is also one element so (A) has (3) elements. Thus there are \(2^3=8\) subsets.

Step 3

Exam Tip

यहां \(\emptyset\) भी एक तत्व है इसलिए (A) में कुल (3) तत्व हैं। अतः \(2^3=8\) उपसमुच्चय होंगे।

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यदि \(A={\emptyset,5,10}\) है तो (n(\mathcal{P}(A))) कितना होगा? / If \(A={\emptyset,5,10}\), what is (n(\mathcal{P}(A)))?

Correct Answer: C. (8). Explanation: यहां \(\emptyset\) भी एक तत्व है इसलिए (A) में कुल (3) तत्व हैं। अतः \(2^3=8\) उपसमुच्चय होंगे। / Here \(\emptyset\) is also one element so (A) has (3) elements. Thus there are \(2^3=8\) subsets.

Which concept should I revise for this Mathematics MCQ?

Here \(\emptyset\) is also one element so (A) has (3) elements. Thus there are \(2^3=8\) subsets.

What exam hint can help solve this Mathematics question?

यहां \(\emptyset\) भी एक तत्व है इसलिए (A) में कुल (3) तत्व हैं। अतः \(2^3=8\) उपसमुच्चय होंगे।