यदि (|A|=7) है, तो (\mathcal{P}(A)) में even cardinality वाले subsets की संख्या कितनी है?
If (|A|=7), how many subsets in (\mathcal{P}(A)) have even cardinality?
Explanation opens after your attempt
Correct Answer
B. (64)
Concept
When \(|A|=n\geq1\), the number of even cardinality subsets is \(2^{n-1}\). Here it is \(2^6=64\).
Why this answer is correct
The correct answer is B. (64). When \(|A|=n\geq1\), the number of even cardinality subsets is \(2^{n-1}\). Here it is \(2^6=64\).
Exam Tip
जब \(|A|=n\geq1\), even cardinality subsets की संख्या \(2^{n-1}\) होती है। यहां \(2^6=64\) है।
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