यदि \(A\subseteq U\), (|U|=11) और (|\mathcal{P}(A)|=128) है, तो (A') के non-empty subsets की संख्या कितनी होगी?
If \(A\subseteq U\), (|U|=11), and (|\mathcal{P}(A)|=128), how many non-empty subsets of (A') are there?
Explanation opens after your attempt
Correct Answer
B. (15)
Concept
Since (|\mathcal{P}(A)|=128=27), (|A|=7) and (|A'|=4). The non-empty subsets are \(2^4-1=15\).
Why this answer is correct
The correct answer is B. (15). Since (|\mathcal{P}(A)|=128=27), (|A|=7) and (|A'|=4). The non-empty subsets are \(2^4-1=15\).
Exam Tip
(|\mathcal{P}(A)|=128=27), इसलिए (|A|=7) और (|A'|=4)। non-empty subsets \(2^4-1=15\) होंगे।
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