By Khee Meng Koh,Eng Guan Tay

This e-book in its moment variation is an invaluable, appealing creation to simple counting ideas for top secondary to undergraduate scholars, in addition to academics. more youthful scholars and lay those who savor arithmetic, let alone avid puzzle solvers, also will locate the publication attention-grabbing. a few of the difficulties and purposes listed below are strong for build up skillability in counting. also they are important for honing uncomplicated talents and methods often challenge fixing. a few of the difficulties keep away from regimen and the diligent reader will frequently detect multiple approach of fixing a specific challenge, that is certainly an incredible expertise in challenge fixing. The ebook hence is helping to provide scholars an early begin to studying problem-solving heuristics and pondering skills.

New chapters initially from a supplementary booklet were additional during this version to considerably bring up the assurance of counting thoughts. the hot chapters contain the primary of Inclusion and Exclusion, the Pigeonhole precept, Recurrence kin, the Stirling Numbers and the Catalan Numbers. a few new difficulties have additionally been additional to this edition.


  • The Addition Principle
  • The Multiplication Principle
  • Subsets and Arrangements
  • Applications
  • The Bijection Principle
  • Distribution of Balls into Boxes
  • More purposes of (BP)
  • Distribution of targeted items into detailed Boxes
  • Other diversifications of the Distribution Problem
  • The Binomial Expansion
  • Some helpful Identities
  • Pascal's Triangle
  • The precept of Inclusion and Exclusion
  • General assertion of the main of Inclusion and Exclusion
  • The Pigeonhole Principle
  • Recurrence Relations
  • The Stirling Numbers of the 1st Kind
  • The Stirling Numbers of the second one Kind
  • The Catalan Numbers
  • Miscellaneous Problems

Readership: lecturers and scholars in high/secondary faculties and schools, and people drawn to combinatorics and graph theory.

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Counting by Khee Meng Koh,Eng Guan Tay

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