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.
KeywordsAllocation Model Tennis Player Binomial Coefficient Defective Item Poker Player
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