Combinatorics/Introduction

Introductory topics in combinatorics

The following topics provide a good study in introductory combinatorics.

• Counting
  • Factorial
  • Permutation
  • Combination
  • Common Stragegies
    • Casework
    • Complementary counting
    • Constructive counting
    • Overcounting
  • Committee forming
  • Distinguishability
• Probability
  • Basic Probability Techniques
  • Geometric probability
  • Expected value
• Miscellaneous
  • Pascal's triangle and Block walking
  • Combinatorial identities
  • Binomial theorem

Introductory combinatorics resources

Books

• the Art of Problem Solving: Introduction to Counting and Probability by David Patrick (details)

Classes

• Introduction to Counting & Probability (information page)

Videos

• AMC8 Math Competition Preperation Playlist by Sohil Rathi
• AoPS Counting & Probability Videos

See also

• Intermediate topics in combinatorics
• Olympiad topics in combinatorics