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Math Help - Question

  1. #1
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    Question

    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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  2. #2
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    Quote Originally Posted by jzellt View Post
    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. \exists f \backepsilon that is true.
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