S and T are finite sets of cardinality n. Is it fair for me to assume f: S ---> T is 1-1 and onto? How would I go about proving that if thats not an assumption I can make while giving a valid proof?

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Originally Posted by jzellt S and T are finite sets of cardinality n. Is it fair for me to assume f: S ---> T is 1-1 and onto? How would I go about proving that if thats not an assumption I can make while giving a valid proof? yes, this is definitely true since the cardinality of the sets are equal ie. that is true.

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