Here's what I have...

Purple
Blue
Red
Orange
Green

Each of the colors represent a player.
Each of the players needs a partner.
Each set of partners needs to play with another set of partners.
Each player needs to play with a different partner against all other partners.

All-in-all, we need to count how many games can be played with how many
UNIQUE partners and UNIQUE opposing partners.

I have no idea of even where to begin other than just writing everything out
by hand on a piece of paper.

Thanx.