यदि \(A=\{5,10,15\}\) है तो (\mathcal{P}(A)) में कितने उपसमुच्चय (15) को नहीं रखते?
If \(A=\{5,10,15\}\), how many subsets in (\mathcal{P}(A)) do not contain (15)?
Explanation opens after your attempt
C. (4)
Concept
Without (15), the remaining (2) elements form \(2^2=4\) subsets. In exams count the elements left after removing the fixed element.
Why this answer is correct
The correct answer is C. (4). Without (15), the remaining (2) elements form \(2^2=4\) subsets. In exams count the elements left after removing the fixed element.
Exam Tip
(15) को न लेकर बाकी (2) तत्वों से \(2^2=4\) उपसमुच्चय बनते हैं। परीक्षा में हटे हुए तत्व के बाद बचे तत्व गिनें।
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