यदि \(A=\{1,2,3,4,5,6\}\), तो (\mathcal{P}(A)) के कितने तत्वों में (1) होगा और (6) नहीं होगा?
If \(A=\{1,2,3,4,5,6\}\), how many elements of (\mathcal{P}(A)) contain (1) and do not contain (6)?
Explanation opens after your attempt
Correct Answer
B. (16)
Concept
(1) is fixed and (6) is forbidden. The remaining four elements are free, so there are \(2^4=16\) subsets.
Why this answer is correct
The correct answer is B. (16). (1) is fixed and (6) is forbidden. The remaining four elements are free, so there are \(2^4=16\) subsets.
Exam Tip
(1) निश्चित है और (6) निषिद्ध है। शेष चार तत्व स्वतंत्र हैं, इसलिए \(2^4=16\) उपसमुच्चय होंगे।
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