यदि \(A=\{1,2,3,4,5,6\}\) है, तो (\mathcal{P}(A)) में ऐसे subsets कितने हैं जिनमें (1) हो और cardinality even हो?
If \(A=\{1,2,3,4,5,6\}\), how many subsets in (\mathcal{P}(A)) contain (1) and have even cardinality?
Explanation opens after your attempt
Correct Answer
B. (16)
Concept
After fixing (1), an odd number must be chosen from the remaining (5) elements, which is \(2^{5-1}=16\). In exams, adjust total parity using the fixed element.
Why this answer is correct
The correct answer is B. (16). After fixing (1), an odd number must be chosen from the remaining (5) elements, which is \(2^{5-1}=16\). In exams, adjust total parity using the fixed element.
Exam Tip
(1) fixed होने के बाद बाकी (5) तत्वों में odd number चुनना होगा, जिसकी संख्या \(2^{5-1}=16\) है। परीक्षा में total parity को fixed element से adjust करें।
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