यदि \(A=\{1,2,3,4,5\}\), तो (\mathcal{P}(A)) के कितने तत्वों का आकार सम है?
If \(A=\{1,2,3,4,5\}\), how many elements of (\mathcal{P}(A)) have even cardinality?
Explanation opens after your attempt
Correct Answer
B. (16)
Concept
A set with (5) elements has (32) subsets. Half of them, (16), have even cardinality.
Why this answer is correct
The correct answer is B. (16). A set with (5) elements has (32) subsets. Half of them, (16), have even cardinality.
Exam Tip
(5) तत्वों वाले समुच्चय के कुल (32) उपसमुच्चय हैं। इनमें आधे यानी (16) सम आकार के होते हैं।
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