यदि (|U|=14), \(A\subseteq U\), और (|\mathcal{P}(A)|=64) है, तो (|\mathcal{P}(A')|) का मान क्या है?
If (|U|=14), \(A\subseteq U\), and (|\mathcal{P}(A)|=64), what is the value of (|\mathcal{P}(A')|)?
Explanation opens after your attempt
C. \(2^8\)
Concept
Since (|\mathcal{P}(A)|=64=26), (|A|=6) and (|A'|=8). Hence (|\mathcal{P}(A')|=28).
Why this answer is correct
The correct answer is C. \(2^8\). Since (|\mathcal{P}(A)|=64=26), (|A|=6) and (|A'|=8). Hence (|\mathcal{P}(A')|=28).
Exam Tip
(|\mathcal{P}(A)|=64=26), इसलिए (|A|=6) और (|A'|=8)। अतः (|\mathcal{P}(A')|=28)।
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