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The power set of A is the n-tuple of all subsets of A with n ordered pair elements

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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.

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