Most of the problems are assigned from the required textbook Bona, Miklos. *A Walk Through Combinatorics: An Introduction to Enumeration and Graph Theory*. World Scientific Publishing Company, 2011. ISBN: 9789814335232. [Preview with Google Books]

A problem marked by * is difficult; it is not necessary to solve such a problem to do well in the course.

### Problem Set 1

- Due in Session 3
- Practice Problems
- Session 1: Chapter 1: Exercises 1, 6a, 8*, 12 Some of these problems can be done in other ways, but the idea is to give a proof using the pigeonhole principle.
- Session 2: Chapter 2: Exercises 2, 5, 12, 15*, Chapter 3: Exercise 2

- Problems Assigned in the Textbook
- Chapter 1: Exercises 22, 26, 31. In 26, a “regular” triangle is an equilateral triangle. Solve 31(a) for
*every*value of _n_≥2, not just some particular value. 31(b) is rather tricky. - Chapter 2: Exercises 18, 29, 33
- Chapter 3: Exercises 27, 34

- Chapter 1: Exercises 22, 26, 31. In 26, a “regular” triangle is an equilateral triangle. Solve 31(a) for
- Additional Problems
- None

- Bonus Problems
- None