I posted this question a couple days back, but it got removed because it looked like a homework question (which, I suppose, is flattering, since I came up with it on the way home from work, and I'm not even a student, let alone a teacher)...so i'm going to try to rephrase it -- but because this is the most concise formulation I could think of, here's the original: I'm not even sure there's enough information there to get the entropy; because, if I understand correctly, the entropy is a measure of the number of "microstates" (in this case, the coordinates/momenta of each ball) that give rise to a given "macrostate"...and I'm not sure what a macrostate would be here: I can't think of any "macro" variables analogous to heat, etc. The closest I can think of would be that you would get the same "macrostate" by swapping any of the identical balls, or rotating the bucket... I picked the state in (1) because it seemed like it would be the state with the highest entropy, because intuitively, if you dropped three cueballs in a bucket and rattled it around, eventually the balls would settle down next to each other on the side...but I'm trying to figure out away to express this quantitatively. So, any guidance, corrections, thoughts, musings, etc would be appreciated. Thanks.