ABSTRACT
Broadly speaking, combinatorics is the branch of mathematics that deals with different ways of selecting objects from a set or arranging objects. It tries to answer two major kinds of questions, namely the existence question (Does there exist a selection or arrangement of objects with a particular set of properties?) and the enumerative question (How many ways can a selection or arrangement be chosen with a particular set of properties?). But you may be surprised by the depth of problems that arise in combinatorics.
