Answer :

n[P(A)] = [tex] 2^{n} [/tex]
where n of no of elements
so  512  =  [tex] 2^{n} [/tex]        so [tex] 2^{9} [/tex] = [tex] 2^{n} [/tex]

n = 9 
so n(A) = 9

n(A) =9

Step-by-step explanation:

m is number of elements

512=2^m

so, 2^m=2^9

m=9

n(A)=9

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