Final answer:
The power set of A is not an n-tuple of all subsets of A.
Step-by-step explanation:
The power set of set A, denoted as P(A), is the set of all subsets of A. Each subset of A represents a possible combination of elements from A. In an n-tuple, the elements are ordered pairs, while the power set of A contains subsets of A without any specific order.
For example, if A = {1, 2}, the power set of A would be P(A) = { {}, {1}, {2}, {1, 2} }. In this case, n, the number of elements in the ordered pairs, is different from the number of subsets in the power set.