यदि \(A=\{1,2,3,4,5,6\}\) है, तो (\mathcal{P}(A)) में odd cardinality और (6) को रखने वाले subsets कितने हैं?
If \(A=\{1,2,3,4,5,6\}\), how many subsets in (\mathcal{P}(A)) have odd cardinality and contain (6)?
Explanation opens after your attempt
Correct Answer
B. (16)
Concept
(6) is fixed, so an even number must be chosen from the remaining (5) elements. Such choices are \(2^{5-1}=16\).
Why this answer is correct
The correct answer is B. (16). (6) is fixed, so an even number must be chosen from the remaining (5) elements. Such choices are \(2^{5-1}=16\).
Exam Tip
(6) fixed है, इसलिए बाकी (5) तत्वों में even संख्या चुननी होगी। ऐसे choices \(2^{5-1}=16\) हैं।
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