Practice Combinatorics

2nd Edition - 2014

About "Competitive Mathematics for Gifted Students" This series provides practice materials and short theory reminders for students who aim to excel at problem solving. Material is introduced in a structured manner: each new concept is followed by a problem set that explores the content in detail. Each book ends with a problem set that reviews both concepts presented in the current volume and related topics from previous volumes. The series forms a learning continuum that explores strategies specific to competitive mathematics in depth and breadth. Full solutions explain both reasoning and execution. Often, several solutions are contrasted. The problem selection emphasizes comprehension, critical thinking, observation, and avoiding repetitive and mechanical procedures. Ready to participate in a math competition such as MOEMS, Math Kangaroo in USA, or Noetic Math? This series will open the doors to consistent performance.

About Level 2 This level of the series is designed for students who know the multiplication tables, integer division with remainder and basic operations with decimals. Our level 1 books explain concepts that may need review before attempting level 2. Level 2 books are suitable for preparing Math Kangaroo 3-4 and MOEMS-E. Many of the concepts presented, however, reach much farther into the AMC-8 level. Level 2 consists of: Word Problems (volume 5), Operations (volume 6), Arithmetic (volume 7), and Combinatorics (volume 8).

About Volume 8 - Combinatorics We continue the study of counting from the level 1 books. We start introducing sets. The study of sets will continue over the next levels, each time introducing more concepts. We continue with a thorough practice of the last digit of a product or sum and we introduce applications of the Pigeonhole principle. Next, we introduce the notion of a factorial and apply it to arrangements. We conclude with a section on dominoes and square tables. This book is rich in strategies and variety.