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How many functions are there from a set with five elements

Question: a) How can the product rule be used to find the number of functions from a set with m elements to a set with n elements?

b) How many functions are there from a set with five elements to a set with 10 elements?

c) How can the product rule be used to find the number of one-to-one functions from a set with m elements to a set with n elements?

d) How many one-to-one functions are there from a set with five elements to a set with 10 elements?

e) How many onto functions are there from a set with five elements to a set with 10 elements?

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Mathematics: How many functions are there from a set with five elements

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