यदि \(A=\{1,2,3,4,5\}\) है, तो (\mathcal{P}(A)) में ऐसे subsets कितने हैं जो ({1,2}) को contain करते हैं और (5) को नहीं रखते?

If \(A=\{1,2,3,4,5\}\), how many subsets in (\mathcal{P}(A)) contain ({1,2}) and do not contain (5)?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

({1,2}) is fixed and (5) is excluded, so (3,4) are optional. The number is \(2^2=4\).

Step 2

Why this answer is correct

The correct answer is B. (4). ({1,2}) is fixed and (5) is excluded, so (3,4) are optional. The number is \(2^2=4\).

Step 3

Exam Tip

({1,2}) fixed है और (5) excluded है, इसलिए (3,4) optional हैं। संख्या \(2^2=4\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5\}\) है, तो (\mathcal{P}(A)) में ऐसे subsets कितने हैं जो ({1,2}) को contain करते हैं और (5) को नहीं रखते? / If \(A=\{1,2,3,4,5\}\), how many subsets in (\mathcal{P}(A)) contain ({1,2}) and do not contain (5)?

Correct Answer: B. (4). Explanation: ({1,2}) fixed है और (5) excluded है, इसलिए (3,4) optional हैं। संख्या \(2^2=4\) है। / ({1,2}) is fixed and (5) is excluded, so (3,4) are optional. The number is \(2^2=4\).

Which concept should I revise for this Mathematics MCQ?

({1,2}) is fixed and (5) is excluded, so (3,4) are optional. The number is \(2^2=4\).

What exam hint can help solve this Mathematics question?

({1,2}) fixed है और (5) excluded है, इसलिए (3,4) optional हैं। संख्या \(2^2=4\) है।