# Math Help - Question

1. ## 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?

2. 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. $\exists f \backepsilon$ that is true.