I'm trying to make a game where you have 2 6 sided dice, each with 3 different colors on them, and the goal of the game is to roll as many unique combinations of rolls within 9 rolls. I know there is a very low chance of only rolling one unique possibility or rolling all 9 different combinations of rolls, but I can't figure out the chance of rolling 2 unique rolls to 8 unique rolls and everything between. Is there some kind of calculator I can use to solve this? How do I figure this out?