Counting

Front Cover
World Scientific, 2002 - Mathematics - 111 pages
1 Review
This book is a useful, attractive introduction to basic counting techniques for upper secondary and junior college students, as well as teachers. Younger students and lay people who appreciate mathematics, not to mention avid puzzle solvers, will also find the book interesting. The various problems and applications here are good for building up proficiency in counting. They are also useful for honing basic skills and techniques in general problem solving. Many of the problems avoid routine and the diligent reader will often discover more than one way of solving a particular problem, which is indeed an important awareness in problem solving. The book thus helps to give students an early start to learning problem-solving heuristics and thinking skills.
 

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I have read many books on counting (permutation and combination) but what I read in this book is awesome and exact.
Excellent book for basic and advanced knowledge

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Contents

The Addition Principle
1
The Multiplication Principle
9
Subsets and Arrangements
17
Applications
25
The Bijection Principle
35
Distribution of Balls into Boxes
47
More Applications of BP
53
Distribution of Distinct Objects into Distinct Boxes
63
The Binomial Expansion
73
Some Useful Identities
77
Pascals Triangle
85
Miscellaneous Problems
95
Books Recommended for Further Reading
105
Answers to Exercises
107
Index
111
Copyright

Other Variations of the Distribution Problem
67

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