Enumeration can be a tricky process. With every restriction put in place, the counting problem we wish to solve quickly becomes much more complex and can take hours or even days to solve. Enter combinatorics, the branch of mathematics that endows us with the clever techniques used to count endless possibilities.
As you begin to learn the essential techniques that apply to Combinatorics, you'll start by learning how to rearrange and group objects to create symmetrical arrangements that are easier to count. The more combinatorics problems you work on, the more your toolbox of counting techniques will expand!
Here are some tips to get you started: