How many elements has P(A), if A = Φ?

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asked Jul 17, 2017 in Mathematics by jayprakash (2,890 points) 1 3 12

How many elements has P(A), if A = Φ? 

1 Answer

0 votes
answered Jul 17, 2017 by jayprakash (2,890 points) 1 3 12

We know that if A is a set with m elements i.e., n(A) = m, then n[P(A)] = 2m

If A = Φ, then n(A) = 0. 

∴ n[P(A)] = 20 = 1 

Hence, P(A) has one element. 

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