If A = {1, {2, 3}}, find P(A) and n {P(A)}.

Let {2,3} = x


Now, A = {1,x}


Subsets of A are ϕ , {1} , {x} , {1,x}


Subsets of A are ϕ , {1} , {2,3} , {1, {2,3}}


Now, n{P(A)} = 2m , where m = n(A) = 2


n{P(A)} = 22 = 4


1