Of the books that have already been mentioned, I like Graham, Knuth, & Patashnik, Concrete Mathematics, isn’t precisely a book on combinatorics, but it offers an excellent treatment of many …

Aug 6, 2020 · Can anyone recommend me an olympiad style combinatorics book which is suitable for a high schooler ? I know only some basics like Pigeon hole principle and stars and bars . I hope to find …

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.

I was looking through practice questions and need some guidance/assistance in Fermat's combinatorial identity. I read through this on the stack exchange, but the question was modified in the latest edition …

Jan 11, 2016 · The essence of a combinatorial proof is to provide a bijection between the elements of a known set and the elements of the set under consideration. A nice characterization is given by R.P. …

4 days ago · Combinatorial geometry is concerned with combinatorial properties and constructive methods of discrete geometric objects. Questions on this topic are on packing, covering, coloring, …

Nov 13, 2023 · Addition: I've looked at two reputable books on combinatorics to see what they include. Here is a selection from their table of contents: J. H. van Lint, R.M. Wilson. "A Course in …

Jan 30, 2015 · What you have there is the best way to prove that identity that I know of. I'm sure there are other combinatorial interpertations of it, but that is the most natural one. Another way to prove …

Nov 12, 2022 · Combinatorial proof of Stirling Numbers of the second kind [duplicate] Ask Question Asked 3 years ago Modified 3 years ago

Let me add one purely-combinatorial proof. : the justification for doing so is that I think we can tell this in a "committee-forming" way that is used for other identities (e.g. Pascal's rule), without needing to …