Los Angeles Math Circle

5/20 -- LAMC High School: Enumerative Combinatorics -- Jed Yang

Enumerative combinatorics is a field of mathematics that deals with counting the number of objects satisfying some combinatorial description. We will learn to count the number of a number of seemingly unrelated objects such as monotonic lattice paths and partitions of integers, and explore their relationships with each other. If time permits, we will also make some necklaces--or rather, count the number of different ways to do so.