Question: Consider a function f: X -> Y. a. How many different functions can we create if the only requirement is that the function is well-defined?

Consider a function f: X -> Y.

a. How many different functions can we create if the only requirement is that the function is well-defined? Come up with a formula using n = |X| and k = |Y|.

b. How many different functions can we create if the function is 1-1? Come up with a formula using n = |X| and k = |Y|.

c. How many different functions can we create if the function is must be a bijection? Come up with a formula using n = |X| and k = |Y|.

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