\(यदि (U={x:x\in\mathbb{N},1\leq x\leq 15}) और (A={x:x\in U, x\) is divisible by \(3}) है, तो (|\mathcal{P}(A')|) कितना है\)?
\(If (U={x:x\in\mathbb{N},1\leq x\leq 15}) and (A={x:x\in U, x\) is divisible by \(3}), what is (|\mathcal{P}(A')|)\)?
Explanation opens after your attempt
Correct Answer
C. \(2^{10}\)
Concept
There are (5) numbers divisible by (3) from (1) to (15), so (|A'|=10). Hence (|\mathcal{P}(A')|=2^{10}).
Why this answer is correct
The correct answer is C. \(2^{10}\). There are (5) numbers divisible by (3) from (1) to (15), so (|A'|=10). Hence (|\mathcal{P}(A')|=2^{10}).
Exam Tip
(1) से (15) तक (3) से विभाज्य (5) संख्याएं हैं, इसलिए (|A'|=10)। अतः (|\mathcal{P}(A')|=2^{10})।
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