​Find n{P(P(P(∅)))}

There will be 4 elements.
P(phi)=20=1
P(P(phi))=21=2
P(P(P(phi)))=22=4
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i did not understand can you explain me more clearly
  • -3
The power set of any set has 2n elements where n denotes the no. of elements in the set..
So set phi is the empty set and it has no elements.
Therefore the no. of elements in P(phi) is 20 since set phi has no elements.So the power set will have 1 element.
n(P(phi))=20=1
n(P(P(phi))=21=2
n(P(P(P(phi))))=22=4 elements.
Hope this will clear your doubts.
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n(p(p(p(phi)))) = 24 = 16 element
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