यदि \(U={1,2,\ldots,20}\) और (A) सभी अभाज्य संख्याओं का समुच्चय है, तो (n(\mathcal{P}(A'))) कितना है?
If \(U={1,2,\ldots,20}\) and (A) is the set of all prime numbers, what is (n(\mathcal{P}(A')))?
Explanation opens after your attempt
Correct Answer
A. (4096)
Concept
There are (8) primes from (1) to (20), so (A') has (12) elements. Hence (n(\mathcal{P}(A'))=2^{12}=4096).
Why this answer is correct
The correct answer is A. (4096). There are (8) primes from (1) to (20), so (A') has (12) elements. Hence (n(\mathcal{P}(A'))=2^{12}=4096).
Exam Tip
(1) से (20) तक (8) अभाज्य संख्याएं हैं, इसलिए (A') में (12) तत्व हैं। अतः (n(\mathcal{P}(A'))=2^{12}=4096)।
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