The calculation of probabilities often leads to the counting of various possible cases. This has been indicated in Examples 4 and 5 of §2.2 and forms the backbone of the classical theory with its stock in trade the games of chance. But combinatorial techniques are also needed in all kinds of applications arising from sampling, ranking, partitioning, allocating, programming and model building, to mention a few. In this chapter we shall treat the most elementary and basic types of problems and the methods of solving them.


Tennis Player Binomial Coefficient Defective Item Poker Player Fundamental Rule 
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Copyright information

© Springer Science+Business Media New York 1974

Authors and Affiliations

  • Kai Lai Chung
    • 1
  1. 1.Department of MathematicsStanford UniversityStanfordUSA

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