So I was doing some basic Combinatorics tonight, working on a Cameron problem, and I realized I utterly fail at it.
Like, here is a skill I feel I should know by know: Given an arbitrary expression $E$ in terms of a few variables, come up with a combinatorial problem such that the $E$ is the solution.
Example.
Set $E$ to be $m!$. The answer could then be any number of things, with an acceptable answer being "How many permutations of $m$ points are there?"
However, I have something a bit more problematic at hand, and it is really close to something simple, but not quite there. I feel frustrated.
Teaching helps with this, actually, being able to come up with a specific problem of a general thought off the fly. Don't be frustrated, its the inexperience from talking about this with other people.
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