Question: Let S = {1, 2} and T = {a, b, c}. (a) How many unique functions are there mapping S rightarrow T? (b) How many

Let S = {1, 2} and T = {a, b, c}.

Let S = {1, 2} and T = {a, b, c}. (a) How many unique functions are there mapping S rightarrow T? (b) How many unique functions are there mapping T rightarrow S? (c) How many onto (surjective) functions are there mapping S rightarrow T? (d) How many onto (surjective) functions are there mapping T rightarrow S onto functions there are)? (c) How many one-to-one (injective) functions are there mapping S rightarrow T? (f) How many one-to-one (injective) functions are there mapping T rightarrow S? (g) Let f: S rightarrow T, is it possible to define f^-1? Why or why not

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