Patrick D. Introduction to Counting and Probability

Alpine, USA: AoPS Incorporated, 2005. — 256 p. — ISBN: 0-9773045-0-7.A thorough introduction for students in grades 7-10 to counting and probability. Topics covered in the book include permutations, combinations, Pascal's Triangle, basic combinatorial identities, expected value, fundamentals of probability, geometric probability, the Binomial Theorem, and much more.How to Use This BookCounting Is Arithmetic
Basic Counting Techniques
Correcting for Overcounting
Committees and Combinations
More With Combinations
Some Harder Counting Problems
Introduction to Probability
Basic Probability Techniques
Think About It!
Geometric Probability
Expected Value
Pascal’s Triangle
The Hockey Stick Identity
The Binomial Theorem
More Challenging Problems
Hints to Selected Problems