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This proceedings volume contains the plenary lectures and selected contributed papers which were given at the "Fifth International Petrozavodsk Conference on Probabilistic Methods in Discrete Mathematics, 1-6 June 2000, Petrozavodsk, Russia. The themes of the conference covered almost all areas of discrete mathematics, such as probabilistic problems of combinatorics, statistical problems of discrete mathematics, theory of random graphs, systems of random equations in finite fields, and questions on information security. A considerable part of the lectures dealt with game theory and mathematical statistics. The papers presented in this volume reflect the current state-of-the-art in probabilistics discrete mathematics and contain information of value and interest to those who are working in theoretical and applied areas of discrete mathematics.