Given the two sets $A = \{a, b, c\}$ and $B = \{x, y\}$, calculate the maximum number of functions that can be defined from the power set of A, P(A), to the power set of B, P(B).\nGive your answer as an integer, not a formula.
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The power set of A, P(A), is the set of all possible subsets of A. Since A has 3 elements, there are 2^3 = 8 possible subsets of A. Therefore, the cardinality of P(A) is 8. Show more…
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