\(यदि (U={x:x\in \mathbb{N}, x\le 50}) और (A={x:x\in U, x\) 10 का गुणज है\(}), तो (|\mathcal{P}(A')|) क्या है\)?
\(If (U={x:x\in \mathbb{N}, x\le 50}) and (A={x:x\in U, x\) is a multiple of \(10}), what is (|\mathcal{P}(A')|)\)?
Explanation opens after your attempt
Correct Answer
B. \(2^{45}\)
Concept
The multiples of (10) are (10,20,30,40,50), so (|A|=5). (A') has (45) elements, hence (|\mathcal{P}(A')|=2^{45}).
Why this answer is correct
The correct answer is B. \(2^{45}\). The multiples of (10) are (10,20,30,40,50), so (|A|=5). (A') has (45) elements, hence (|\mathcal{P}(A')|=2^{45}).
Exam Tip
(10) के गुणज (10,20,30,40,50) हैं, इसलिए (|A|=5)। (A') में (45) तत्व हैं, अतः (|\mathcal{P}(A')|=2^{45})।
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