Combinatorics
Combinatorics
Practice problems, Problem Set, Combinatorics, Questions, Answers, Problems, Solutions, Discussions, Walkthroughs, Hints, IOQM, RMO, INMO, Study material, Olympiad Combinatorics Notes, Olympiad Combinatorics Problems
Lecture notes on Combinatorics (for Math Olympiad — IOQM, RMO, INMO)
Click on the links below to download.
- Click here to download Algebra notes.
- Click here to download Geometry notes.
- Click here to download Number Theory notes.
- Click here to download notes of INMO Training Camp 2025 for the Madhya Pradesh region.
- Click here to download some problem set of IMO Training Camp 2025.
These notes
- may be useful
- to the students who would like to have a look at some of the past RMO problems, in order to have an idea of the notions/topics involved, and/or to have a glimpse before getting started, or just curious about it,
- to the students, who would like to prepare and would like to have the relevant questions organized across the topics and sub-topics,
- also aim
- to spread awareness for the Mathematics Olympiad programme in India, conducted by the Homi Bhabha Centre for Science Education (HBCSE), which is the only programme in India leading to participation in the following International Mathematical Olympiads — IMO, APMO, EGMO. No other contests are recognized.
- to provide resources to the students who may not have access to introductory/preparatory materials related to Mathematics Olympiad.
Problem sets by Amit Kumar Mallik from INMOTC 2025, MP region
| Problem sets by Amit Kumar Mallik from INMOTC 2025, MP region | |
|---|---|
| Invariants and Monoinvariants | |
| Coloring problems | |
| Games | |
| Optimization problems |
References/Resources
- Olympiad Training Materials from IMOmath
- Mathematical circles (Russian experience) by Fomin, Genkin, Itenberg.
- Problem-solving methods in combinatorics by Pablo Soberón, who received a Gold medal in IMO 2006.
- Problem-solving strategies by Engel.
- OTIS Excerpts by Evan Chen.
- Olympiad Combinatorics, by Pranav A. Sriram. Its chapters are available in posts #1, #11, #49 of this page. There is a forum for solutions of the problems which are not in the contest collections but from this book.
- A video by Zlatko Salko Lagumdžija.