Features of combinatorics

Some of the important features of the combinatorics are as follows:

• Counting the structures of the provided kind and size.
• To decide when particular criteria can be fulfilled and analyzing elements of the criteria, such as combinatorial designs.
• To identify “greatest”, “smallest” or “optimal” elements, known as external combinatorics.

Combinatorial structures that rise in an algebraic concept, or applying algebraic techniques to combinatorial problems, known as algebraic combinatorics.