Class 11 Mathematics Sets Operations on Sets (Union, Intersection, Difference) Hard Level 16

यदि \(A=\{1,2,3,4\}\) और \(B=\{3,4,5,6\}\), तो (\mathcal{P}(A-B)) में कितने उपसमुच्चय हैं?

If \(A=\{1,2,3,4\}\) and \(B=\{3,4,5,6\}\), how many subsets are in (\mathcal{P}(A-B))?

Explanation opens after your attempt
Correct Answer

A. (4)

Step 1

Concept

(A-B={1,2}), which has (2) elements. Its power set has \(2^2=4\) subsets.

Step 2

Why this answer is correct

The correct answer is A. (4). (A-B={1,2}), which has (2) elements. Its power set has \(2^2=4\) subsets.

Step 3

Exam Tip

(A-B={1,2}) है, जिसमें (2) तत्व हैं। घात समुच्चय में \(2^2=4\) उपसमुच्चय होंगे।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4\}\) और \(B=\{3,4,5,6\}\), तो (\mathcal{P}(A-B)) में कितने उपसमुच्चय हैं? / If \(A=\{1,2,3,4\}\) and \(B=\{3,4,5,6\}\), how many subsets are in (\mathcal{P}(A-B))?

Correct Answer: A. (4). Explanation: (A-B={1,2}) है, जिसमें (2) तत्व हैं। घात समुच्चय में \(2^2=4\) उपसमुच्चय होंगे। / (A-B={1,2}), which has (2) elements. Its power set has \(2^2=4\) subsets.

Which concept should I revise for this Mathematics MCQ?

(A-B={1,2}), which has (2) elements. Its power set has \(2^2=4\) subsets.

What exam hint can help solve this Mathematics question?

(A-B={1,2}) है, जिसमें (2) तत्व हैं। घात समुच्चय में \(2^2=4\) उपसमुच्चय होंगे।