<P>What Is Combinatorics Anyway?</P><br/><br/><P></P><br/><br/><P>Broadly speaking, combinatorics is the branch of mathematics dealing</P><br/><br/><P>with different ways of selecting objects from a set or arranging objects. It</P><br/><br/><P>tries to answer two major kinds of questions, namely, counting questions: how many ways can a selection or arrangement be chosen with a particular set of properties; and structural </P><br/><br/><P>questions: does there exist a selection or arrangement of objects with a </P><br/><br/><P>particular set of properties?</P><B><br/><br/><P></P></B><br/><br/><P>The authors have presented a text for students at all levels of preparation.</P><br/><br/><P>For some, this will be the first course where the students see several real proofs. </P><br/><br/><P>Others will have a good background in linear algebra, will have completed the calculus </P><br/><br/><P>stream, and will have started abstract algebra. </P><br/><br/><P></P><br/><br/><P>The text starts by