यदि \(U=\{a,b,c,d,e,f,g\}\) और \(A=\{a,c,e\}\) है, तो (\mathcal{P}(U)) के कितने members (A) को subset के रूप में रखते हैं?
If \(U=\{a,b,c,d,e,f,g\}\) and \(A=\{a,c,e\}\), how many members of (\mathcal{P}(U)) contain (A) as a subset?
Explanation opens after your attempt
Correct Answer
B. (16)
Concept
(A) is fixed and the (4) elements of (U-A) are optional, so \(2^4=16\). In exams, containing (A) means \(A\subseteq S\).
Why this answer is correct
The correct answer is B. (16). (A) is fixed and the (4) elements of (U-A) are optional, so \(2^4=16\). In exams, containing (A) means \(A\subseteq S\).
Exam Tip
(A) fixed है और (U-A) के (4) तत्व optional हैं, इसलिए \(2^4=16\)। परीक्षा में containing (A) का अर्थ \(A\subseteq S\) लें।
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