How many one-to-one functions are there from a set with four elements to a set with five elements? There are 120 choices for where to send the first element of the domain, 5 (b) How many one-to-one functions are there from a set with four elements to a set with three elements? 0 choices for where to send the second element of the domain, and so forth. Thus, the total number of one-to-one functions is 120 (c) How many one-to-one functions are there from a set with four elements to a set with four elements? 24 (d) How many one-to-one functions are there from a set with four elements to a set with six elements?

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