यदि \(A=\{2,4,6\}\) है तो \(\emptyset\) का (\mathcal{P}(A)) से संबंध क्या है?
If \(A=\{2,4,6\}\), what is the relation of \(\emptyset\) with (\mathcal{P}(A))?
Explanation opens after your attempt
Correct Answer
A. \(\emptyset\in\mathcal{P}(A)\)
Concept
\(\emptyset\) is a subset of every set, so it is an element of its power set. This is a common exam confusion.
Why this answer is correct
The correct answer is A. \(\emptyset\in\mathcal{P}(A)\). \(\emptyset\) is a subset of every set, so it is an element of its power set. This is a common exam confusion.
Exam Tip
\(\emptyset\) हर समुच्चय का उपसमुच्चय है इसलिए यह उसके घात समुच्चय का तत्व है। यह बहुत सामान्य परीक्षा भ्रम है।
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