यदि \(A=\{a,b,c,d\}\) है, तो (\mathcal{P}(A)) में (a) को न रखने वाले subsets कितने हैं?
If \(A=\{a,b,c,d\}\), how many subsets in (\mathcal{P}(A)) do not contain (a)?
Explanation opens after your attempt
B. (8)
Concept
When (a) is excluded, the remaining (3) elements are free, so there are \(2^3=8\) subsets. In exams, remove the excluded element and count.
Why this answer is correct
The correct answer is B. (8). When (a) is excluded, the remaining (3) elements are free, so there are \(2^3=8\) subsets. In exams, remove the excluded element and count.
Exam Tip
(a) excluded होने पर शेष (3) तत्व स्वतंत्र हैं, इसलिए \(2^3=8\) subsets हैं। परीक्षा में excluded element हटाकर गिनें।
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