- #1

TranscendArcu

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## Homework Statement

Ten books are made into two piles. In how many ways can this be done if books as well as piles may or may not be distinguishable?

## The Attempt at a Solution

So I thought I'd try what I thought was the easiest case first, that being that neither the books nor the piles are distinguishable. In that case, can't the books only be arranged one way? I wouldn't be able to tell the difference between the books in the pile nor the piles themselves, so all combinations would be identical. Is that right?