Springer, 2019. — 2 p. — (Problem Books in Mathematics). – ISBN: 978-3-030-00830-7.
This book is an extended version of the latest edition of my book written in Serbian under the title Combinatorics. I started gathering and selecting material and combinatorial problems for the book in the late 1980s while giving lectures to young talented mathematicians preparing for national and international mathematical competitions and while working as a jury member at the national mathematical olympiad.
Arrangements, Permutations, and Combinations
Binomial and Multinomial Theorems
Inclusion-Exclusion Principle
Generating Functions
Partitions
Burnside’s Lemma
Graph Theory: Part 1
Graph Theory: Part 2
Existence of Combinatorial Configurations
Mathematical Game
Elementary Probability
Additional Problems
Solutions