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### Chapter 11 Counting Methods and Probability Theory

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### Intermediate Counting & Probability Textbook

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### Introduction To Counting & Probability (The Art Of Problem

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## Correcting for Overcounting Problem solving

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### Correcting for Overcounting Problem solving

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of Introduction to Counting & Prob-ability, a discrete math textbook for middle and high school students, and is currently working on the sequel, Inter-mediate Counting & Probability.He was a USA Mathematical Olympiad winner in 1988, earned his Ph.D. in Mathematics from MIT in 1997, and did research in noncommutative alge-bra. 1History Continue your exploration of more advanced counting and probability topics from former USA Mathematical Olympiad winner David Patrick. This book is the follow-up to the acclaimed Introduction to Counting & Probability textbook.. Topics covered in this book include inclusion-exclusion, 1-1 correspondences, the Pigeonhole Principle, constructive expectation, Fibonacci and Catalan numbers

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### Intermediate Counting & Probability Textbook

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Section 11.1 The Fundamental Counting Principle Copyright В© 2015 Pearson Education, Inc. 465 5. 3 В· 2 = 6 6. 26 В· 9 = 234 7. Multiply the number of choices for ItвЂ™s not the voting thatвЂ™s democracy; itвЂ™s the counting вЂ“ Tom Stoppard CHAPTER 3 Correcting for Overcounting 3.1 Introduction Often in counting problems, the most convenient solution is to count too much, and then somehow

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