Let A and B be finite sets with |A| < |B|. True or false. Is there a one-to-one map of A into B? My book says its true, but i don't see why. Set B has a larger size (cardinality). How do they map?
fishsticks1907 wrote:Let A and B be finite sets with |A| < |B|. True or false. Is there a one-to-one map of A into B? My book says its true, but i don't see why. Set B has a larger size (cardinality). How do they map?
Hint: There is a big difference between "one-to-one" and "onto".