यदि \(A=\{1,3,5,7\}\) है तो ऐसे उपसमुच्चयों की संख्या कितनी है जिनका योग विषम है?
If \(A=\{1,3,5,7\}\) then how many subsets have an odd sum?
Explanation opens after your attempt
Correct Answer
B. (8)
Concept
All elements are odd, so an odd sum needs an odd number of elements in the subset. \(\binom{4}{1}+\binom{4}{3}=4+4=8\).
Why this answer is correct
The correct answer is B. (8). All elements are odd, so an odd sum needs an odd number of elements in the subset. \(\binom{4}{1}+\binom{4}{3}=4+4=8\).
Exam Tip
सभी अवयव विषम हैं, इसलिए विषम योग के लिए उपसमुच्चय में विषम संख्या में अवयव होने चाहिए। \(\binom{4}{1}+\binom{4}{3}=4+4=8\) है।
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