Symmetric Groups Part 1 

The symmetric group of a set is the set of all bijective maps from the set to itself.
This set of bijections along with the composition table defined by composition of the mappings satisfies the axioms of group theory.
In this video we specifically look at the finite symmetric groups, which are the symmetric groups of finite sets.
We look at the example of S3, which is the symmetric group of a set of three elements. This group has six separate elements. We look at what these six elements are and illustrate how to construct the composition table for this group.