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Prerequisite
To benefit fully from this course, we recommend that students have completed the introductory level courses in counting and probability (e.g., AoPS “Introduction to Counting and Probability”).
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Recommended Textbook and Course Materials
Lecture notes, Awesomemath 112, AoPS Intermediate Counting and Probability, and past AMC 10/12 and AIME tests.
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Targeted Level
Combinatorics is one of the most important topics in AIME as well as AMC 10/12 exams. On average, each AIME test comprises 4-5 questions related to counting and probability. Furthermore, in almost every year's AMC 10/12 and AIME, there are at least 2 questions among the most difficult ones (Q21-Q25 in AMC 10/12, Q11-Q15 in AIME) that require a strong understanding of combinatorics principles. The difficulty level of this course is comparable to that of problems 21-25 in AMC 10/12, and problems 1-13 in AIME.