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 combinatorics (generating …

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 to be …

Nov 13, 2023 · So if "combinatorics is a subset of discrete mathematics" should indeed be true: I would like to see a concrete example of a subject being discrete math, but not combinatorics. I was a bit …

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 18, 2019 · I'm learning combinatorics and need a little help differentiating between a combinatorial proof and an algebraic proof. Here is an example I came across: Prove the following two formulas by

Circular permutations Consider an arrangement of blue, cyan, green, yellow, red, and magenta beads in a circle. For this particular arrangement of the six beads, there are six ways to list the arrangement of …

Jan 11, 2016 · Combinatorics is a wide branch in Math, and a proof based on Combinatorial arguments can use many various tools, such as Bijection, Double Counting, Block Walking, et cetera, so a …

Jul 22, 2016 · I want to prepare for the maths olympiad and I was wondering if you can recommend me some books about combinatorics, number theory and geometry at a beginner and intermediate level. …

Jun 28, 2017 · This is the Binomial theorem: $$ (a+b)^n=\sum_ {k=0}^n {n\choose k}a^ {n-k}b^k.$$ I do not understand the symbol $ {n\choose k}.$ How do I actually compute this? What does this notation …

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 bot fed …