Question: Let A = {1,2,3,..., 10}. Consider the function f : P(A) N given by f(B) = |B|. That is, f takes a subset of

Let A = {1,2,3,..., 10}. Consider the function f : P(A) N

Let A = {1,2,3,..., 10}. Consider the function f : P(A) N given by f(B) = |B|. That is, f takes a subset of A as an input and outputs the cardinality of that set. a. Is f injective? Prove your answer. b. Is f surjective? Prove your answer. c. Find f (1). d. Find f-(0). e. Find f (12).

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