Is the goal to just find all combinations? It should be explained.
For me recognizing that the count on the left is simply new items I discover out of possible 560 was part of the fun aspect of this surprisingly simple but engaging game
That's life.
Playing this game has given me more insights into the intersection between human problem solving and algorithmic problem solving than any puzzle I've worked on since Sudoku.
I'm at 284 elements discovered and I don't think I'll only go through this once. I may end up downloading the tree, and writing programs to traverse it.