यदि \(U=\{1,2,3,4,5,6,7,8\}\) और \(A=\{2,4,6,8\}\) है, तो (\mathcal{P}(U)) के कितने members (A') से disjoint हैं?
If \(U=\{1,2,3,4,5,6,7,8\}\) and \(A=\{2,4,6,8\}\), how many members of (\mathcal{P}(U)) are disjoint from (A')?
Explanation opens after your attempt
Correct Answer
B. (16)
Concept
Subsets disjoint from (A') are exactly subsets of (A), so the number is \(2^4=16\). In exams, understand disjoint from complement as subset of the original set.
Why this answer is correct
The correct answer is B. (16). Subsets disjoint from (A') are exactly subsets of (A), so the number is \(2^4=16\). In exams, understand disjoint from complement as subset of the original set.
Exam Tip
(A') से disjoint subsets केवल (A) के subsets होंगे, इसलिए संख्या \(2^4=16\) है। परीक्षा में disjoint from complement का अर्थ subset of original set समझें।
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