Question

How many elements has P(A), if A=Φ?
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Answer 1

Answer:

given set

A = ∅

number of elements = 0

so,

number of subsets = 2ⁿ = 2⁰ = 1 .

so,

P(A) = 1..

$..$

Answer 2

Step-by-step explanation:

We know that if A is a set with m elements i.e., n(A)=m,

then, n[P(A)]=2^m

If A=ϕ, then n(A)=0

∴n[P(A)]=2⁰

=1

Hence, P(A) has one element.