Applied Combinatorics by Alan Tucker is a good one. It's short, not hard to follow, a lot of problems to work through, and it's split into two sections: graph theory in section 1, and …

In fact,I once tried to define combinatorics in one sentence on Math Overflow this way and was vilified for omitting infinite combinatorics. I personally don't consider this kind of mathematics …

May 20, 2020 · To reiterate... $2^n-1$ is a fine answer to its own question... the question of how many non-empty subsets a set has. $2^n$ is a fine answer to its own question... the question …

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Is there a comprehensive resource listing binomial identities? I am more interested in combinatorial proofs of such identities, but even a list without proofs will do.

Jan 30, 2015 · Explore related questions combinatorics proof-verification binomial-coefficients See similar questions with these tags.

The first basic thing to grasp is that manipulating generating functions is much easier than manipulating sequences, but the power of generating functions goes much deeper than this. …

Oct 17, 2018 · Comically badly worded question - particularly amusing is the phrase 'each card displays one positive integer without repetition from this set' :) it's almost like the output of a …

How many ways are there to distribute 5 balls into 7 boxes if each box must have at most one in it if: a) both the boxes and balls are labeled b) the balls are labeled but the boxes are not c) the

Sep 5, 2021 · Explore related questions combinatorics fibonacci-numbers See similar questions with these tags.