Padma the Painter wants to start her own line of paints, but she knows that to be successful, she needs to offer a variety: her goal is to start by selling 100 different colors! As we work to help Padma plan her business with the limited equipment she has available, we'll find ourselves diving into the world of counting and combinations: the rich mathematical world of combinatorics.

Note - Circle Prerequisites:

(1) Mastery of basic multiplication

(2) Has not studied combinatorics extensively