यदि \(A=\{1,2,3,4\}\), तो (P(A)) के कितने अवयवों का योग सम है?
If \(A=\{1,2,3,4\}\), how many elements of (P(A)) have an even sum?
Explanation opens after your attempt
B. (8)
Concept
For an even sum, choose an even number of odd elements from (1,3), and even elements are free, so \(2\cdot 2^2=8\). In parity questions, focus on odd elements.
Why this answer is correct
The correct answer is B. (8). For an even sum, choose an even number of odd elements from (1,3), and even elements are free, so \(2\cdot 2^2=8\). In parity questions, focus on odd elements.
Exam Tip
सम योग पाने के लिए विषम अवयवों (1,3) में से सम संख्या चुनी जाएगी और सम अवयव स्वतंत्र हैं, इसलिए \(2\cdot 2^2=8\)। पैरिटी में विषम अवयवों पर ध्यान दें।
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