Please note that the repeated elements in the set are not counted, so {1, 1}={ 1}, {1, 2, 1}={ 1, 2}
The power set consists of all subsets of A, so the result you said is correct.
For another example, A={ 1, 2,3}
So P(A)={? ,{ 1},{2},{3},{ 1,2},{ 1,3},{2,3},[ 1,2,3}}