यदि \(A\subseteq U\), \(|U|=16\) और \(|\mathcal{P}(A)|=256\) है, तो \(A'\) के non-empty subsets की संख्या कितनी है?
If \(A\subseteq U\), \(|U|=16\), and \(|\mathcal{P}(A)|=256\), then how many non-empty subsets of \(A'\) are there?
Explanation opens after your attempt
Correct Answer
B. (255)
Concept
Since (|\mathcal{P}(A)|=256=28), (|A|=8) and (|A'|=8). The number of non-empty subsets is \(2^8-1=255\).
Why this answer is correct
The correct answer is B. (255). Since (|\mathcal{P}(A)|=256=28), (|A|=8) and (|A'|=8). The number of non-empty subsets is \(2^8-1=255\).
Exam Tip
(|\mathcal{P}(A)|=256=28), इसलिए (|A|=8) और (|A'|=8)। non-empty subsets की संख्या \(2^8-1=255\) है।
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