यदि (\mathcal{P}(A)) में (256) तत्व हैं, तो (\mathcal{P}(\mathcal{P}(A))) में कितने तत्व होंगे?
If (\mathcal{P}(A)) has (256) elements, how many elements are in (\mathcal{P}(\mathcal{P}(A)))?
Explanation opens after your attempt
Correct Answer
B. \(2^{256}\)
Concept
(\mathcal{P}(A)) itself is a set with (256) elements. Its power set therefore has \(2^{256}\) elements.
Why this answer is correct
The correct answer is B. \(2^{256}\). (\mathcal{P}(A)) itself is a set with (256) elements. Its power set therefore has \(2^{256}\) elements.
Exam Tip
(\mathcal{P}(A)) स्वयं (256) तत्वों वाला समुच्चय है। इसलिए उसके घात समुच्चय में \(2^{256}\) तत्व होंगे।
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