Let's say I have nine colors, and my art teacher asks me to draw pictures using these nine colors. However, I need to use at least five colors for each drawing. Now I know there is only one way to combine nine colors (the order doesn't matter). But I don't know how to determine other combinations (8/9, 7/9, 6/9, 5/9). I imagine that once I figure out each of these possibilities, then I need to add them together to get all possible 5+ color combinations using nine colors.

Appreciate your help.