यदि \(A=\{1,2,3,4,5\}\), तो (\mathcal{P}(A)) के कितने तत्वों का योग सम है?
If \(A=\{1,2,3,4,5\}\), how many elements of (\mathcal{P}(A)) have an even sum?
Explanation opens after your attempt
Correct Answer
C. (16)
Concept
Since (A) has at least one odd number, subsets with even and odd sums are equal in number. Total subsets are (32), so even-sum subsets are (16).
Why this answer is correct
The correct answer is C. (16). Since (A) has at least one odd number, subsets with even and odd sums are equal in number. Total subsets are (32), so even-sum subsets are (16).
Exam Tip
(A) में कम से कम एक विषम संख्या है, इसलिए उपसमुच्चयों के योग सम और विषम बराबर संख्या में होंगे। कुल (32) हैं, अतः सम योग वाले (16) हैं।
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