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How many elements are there in P(A), if A = φ?(a) 1(b) 2(c) 3(d) 4The question was asked in a national level competition.My enquiry is from Power Sets in division Sets of Mathematics – Class 11

Answer» CORRECT ANSWER is (a) 1

Explanation: If A = φ then N(A)=0. Set with m elements has 2^m subsets. So, number of elements in P(A) is 20=1. P(A) = {φ}.


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