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It occurs to me that the slots on the far left and far right have a lower chance of receiving a ball than the other ones, as they're only passed over once once on each back-and-forth path.
If you ignore that, the number of possible outcomes is 75.
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Back and forth path? Are you familiar with the shape and structure of this clown contraption in a way I'm not?
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Balls, 5. Compartements, 7.
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Yeah, I just did a whole great post with 5 balls and 7 compartments.