A bag contains colored balls:
- 8 red balls
- 4 white balls
- 4 blue balls
- 4 green balls
- 2 purple balls
- 2 orange balls
- 1 yellow ball
- 1 black ball
Total of 26 balls.
I'd like to determine the number of combinations of balls when 8 are chosen. Doing a combination like 26C8 obviously disregards the order of the chosen balls, but I'd like to also disregard sets that identical colors (example, there are 8 ways (9c8) to have 7 red balls and one 1 black ball, because there are 8 different red balls, but I really want to count this as one combination).
I figure it probably ends up being 26C8 divided by....something? Any ideas?