यदि (A) में (n) तत्व हैं और (|\mathcal{P}(A)|=|\mathcal{P}(A')|), जहां \(A\subseteq U\) और (|U|=12), तो (n) कितना है?
If (A) has (n) elements and (|\mathcal{P}(A)|=|\mathcal{P}(A')|), where \(A\subseteq U\) and (|U|=12), what is (n)?
Explanation opens after your attempt
Correct Answer
C. (6)
Concept
\(2^n=2^{12-n}\), so (n=12-n) and (n=6). In exams, equate exponents when the bases are equal.
Why this answer is correct
The correct answer is C. (6). \(2^n=2^{12-n}\), so (n=12-n) and (n=6). In exams, equate exponents when the bases are equal.
Exam Tip
\(2^n=2^{12-n}\), इसलिए (n=12-n) और (n=6)। परीक्षा में समान base के exponents बराबर करें।
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