यदि \(A={x:x \in \mathbb{N}, x\leq 5}\) और \(U={x:x \in \mathbb{N}, x\leq 8}\) है, तो (\mathcal{P}(U)-\mathcal{P}(A)) में कितने सदस्य होंगे?
If \(A={x:x \in \mathbb{N}, x\leq 5}\) and \(U={x:x \in \mathbb{N}, x\leq 8}\), how many members are in (\mathcal{P}(U)-\mathcal{P}(A))?
Explanation opens after your attempt
Correct Answer
A. (224)
Concept
(|U|=8) and (|A|=5), so \(2^8-2^5=256-32=224\). In exams, this is not (\mathcal{P}(U-A)).
Why this answer is correct
The correct answer is A. (224). (|U|=8) and (|A|=5), so \(2^8-2^5=256-32=224\). In exams, this is not (\mathcal{P}(U-A)).
Exam Tip
(|U|=8) और (|A|=5), इसलिए \(2^8-2^5=256-32=224\)। परीक्षा में यह ( \mathcal{P}(U-A)) नहीं है।
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