Question

If A is a set with n(A)=m, and P(A) represents the power set of A, then n(P(A)) is​

Answer 1

Answer:

P(S) = { {}, {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c} }

Think of it as all the different ways we can select the items (the order of the items doesn't matter), including selecting none, or all.

Answer 2

Step-by-step explanation:

For example, the power set of a set with three elements, has: C(3, 0) = 1 subset with 0 elements (the empty subset), ... C(3, 2) = 3 subsets with 2 elements (the complements of the singleton subsets), C(3, 3) = 1 subset with 3 elements (the original set itself).