यदि \(A=\{x,y,z\}\) है तो (\mathcal{P}(A)) में (x) को रखने वाले उपसमुच्चयों की संख्या कितनी है?

If \(A=\{x,y,z\}\), how many subsets in (\mathcal{P}(A)) contain (x)?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

Fix (x) and each of (y,z) has two choices. Therefore the number is \(2^2=4\).

Step 2

Why this answer is correct

The correct answer is C. (4). Fix (x) and each of (y,z) has two choices. Therefore the number is \(2^2=4\).

Step 3

Exam Tip

(x) को स्थिर रखें और (y,z) के लिए दो दो विकल्प होंगे। इसलिए संख्या \(2^2=4\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{x,y,z\}\) है तो (\mathcal{P}(A)) में (x) को रखने वाले उपसमुच्चयों की संख्या कितनी है? / If \(A=\{x,y,z\}\), how many subsets in (\mathcal{P}(A)) contain (x)?

Correct Answer: C. (4). Explanation: (x) को स्थिर रखें और (y,z) के लिए दो दो विकल्प होंगे। इसलिए संख्या \(2^2=4\) है। / Fix (x) and each of (y,z) has two choices. Therefore the number is \(2^2=4\).

Which concept should I revise for this Mathematics MCQ?

Fix (x) and each of (y,z) has two choices. Therefore the number is \(2^2=4\).

What exam hint can help solve this Mathematics question?

(x) को स्थिर रखें और (y,z) के लिए दो दो विकल्प होंगे। इसलिए संख्या \(2^2=4\) है।