यदि \(A=\{2,4,6,8,10\}\) है, तो (\mathcal{P}(A)) के कितने तत्वों में सभी तत्व सम संख्या होंगे?
If \(A=\{2,4,6,8,10\}\), how many elements of (\mathcal{P}(A)) contain only even numbers?
Explanation opens after your attempt
Correct Answer
C. (32)
Concept
All elements of (A) are even, so every subset in (\mathcal{P}(A)) contains only even numbers. The total number is \(2^5=32\).
Why this answer is correct
The correct answer is C. (32). All elements of (A) are even, so every subset in (\mathcal{P}(A)) contains only even numbers. The total number is \(2^5=32\).
Exam Tip
(A) के सभी तत्व सम हैं, इसलिए (\mathcal{P}(A)) के हर उपसमुच्चय में केवल सम संख्याएँ होंगी। कुल संख्या \(2^5=32\) है।
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