the new 6th edition of applied combinatorics builds on the previous editions with more in depth analysis of computer systems in order to help develop proficiency in basic discrete math problem solving. as one of the most widely used book in combinatorial problems, this edition explains how to reason and model combinatorically while stressing the systematic analysis of different possibilities, exploration of the logical structure of a problem, and ingenuity. although important uses of combinatorics in computer science, operations research, and finite probability are mentioned, these applications are often used solely for motivation. numerical examples involving the same concepts use more interesting settings such as poker probabilities or logical games.