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  4. The number of elements in P[P(P(φ))] is

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Q. The number of elements in $P[P(P(\phi))]$ is

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Solution:

$n[P(\phi)]=2^0 =1 {[\because n(\phi)=0]}$
$ n[P(P(\phi))]=2^1=2 $
$ n {\left[P\{P(P(\phi)\}]=2^2=4\right.} $