यदि \(A=\{1,2,3,4\}\), तो ऐसे उपसमुच्चयों की संख्या कितनी है जिनमें सदस्यों का योग सम हो?
If \(A=\{1,2,3,4\}\), how many subsets have an even sum of elements?
Explanation opens after your attempt
Correct Answer
C. (8)
Concept
For an even sum, the number of selected odd elements must be even. Among the (16) subsets, half, that is (8), give even sum.
Why this answer is correct
The correct answer is C. (8). For an even sum, the number of selected odd elements must be even. Among the (16) subsets, half, that is (8), give even sum.
Exam Tip
सम योग के लिए चुने गए विषम सदस्यों की संख्या सम होनी चाहिए। चार-सदस्यीय सेट में कुल (16) उपसमुच्चयों में आधे यानी (8) सम योग देते हैं।
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