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If a set A={x: x is a prime number less than 4} then n[P(P(A))] is ______________(a) 8(b) 16(c) 32(d) 64The question was posed to me in my homework.I would like to ask this question from Power Sets topic in section Sets of Mathematics – Class 11

Answer» CORRECT answer is (b) 16

The explanation is: A={2,3}. POWER SET of A i.e. P(A) has 2^2=4 ELEMENTS. N[P(A)]=4. P(P(A)) has 2^4=16 elements. n[P(P(A))] is 16.


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