Mathematics

Problem

Let

A

and

B

be finite sets with

|A|=10

and

|B|=10

. Suppose

h: A \to B

is injective. What can be concluded about

h

? a)

h\text{ is surjective but not bijective}

b) No further conclusion can be drawn c)

h\text{ is necessarily bijective}

h\text{ is injective but not surjective}