If n (P(A))=16 then n(A)=
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Answer:
A is a set. Then, n(A) is called cardinal number of the set A = number of elements in set A.
P(A) is called power set of A. Power set =P(A)= set of all subsets of set A
We know that if number of elements in set A is n
n(A)=n
Number of subsets of power set =2^n
Given,
n[P(A)]=16
2^ n =16
2 ^n =2 ^4
Therefore, n=4
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