24. Let S and T be finite sets with n and m elements, respectively. (a) How many...

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24. Let S and T be finite sets with n and m elements, respectively.

(a) How many functions f : S → T can be defined?

(b) If m ≥ n, how many injective (one-to-one) functions f : S → T can be defined?

(c) If m = n, how many surjective (onto) functions f : S → T can be defined?

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