यदि \(A=\{1,2,3,4\}\) है तो ऐसे उपसमुच्चयों की संख्या कितनी है जिनका योग सम है?
If \(A=\{1,2,3,4\}\) then how many subsets have an even sum?
Explanation opens after your attempt
Correct Answer
C. (8)
Concept
There are two odd and two even elements, and an even sum needs an even number of odd elements. This gives \(2\times4=8\) subsets.
Why this answer is correct
The correct answer is C. (8). There are two odd and two even elements, and an even sum needs an even number of odd elements. This gives \(2\times4=8\) subsets.
Exam Tip
दो विषम और दो सम अवयव हैं, और सम योग के लिए विषम अवयवों की संख्या सम होनी चाहिए। कुल \(2\times4=8\) उपसमुच्चय मिलते हैं।
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