Enumerative and Algebraic Combinatorics

By Doron Zeilberger

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[Appeared in Princeton Companion to Mathematics , (Timothy Gowers, ed.), Princeton University Press,550-561. ]

Written: March 15, 2004.

This general essay was solicited by the editor Tim Gowers. It is based on my Nov. 14, 2003 Virginia Tech Colloquium Talk.

Added March 25, 2005: Here is the much better edited vresion, produced by the skilled editing hands of Tim Gowers and Sam Clark.

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