\(यदि (U={x:x\in\mathbb{N},1\leq x\leq 20}) और (A={x:x\in U, x\) is prime}) है, तो (A') के non-empty subsets कितने हैं?
\(If (U={x:x\in\mathbb{N},1\leq x\leq 20}) and (A={x:x\in U, x\) is prime}), how many non-empty subsets does (A') have?
Explanation opens after your attempt
Correct Answer
B. (4095)
Concept
There are (8) primes from (1) to (20), so (|A'|=12). The non-empty subsets are \(2^{12}-1=4095\).
Why this answer is correct
The correct answer is B. (4095). There are (8) primes from (1) to (20), so (|A'|=12). The non-empty subsets are \(2^{12}-1=4095\).
Exam Tip
(1) से (20) तक primes (8) हैं, इसलिए (|A'|=12)। Non-empty subsets \(2^{12}-1=4095\) हैं।
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