2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72457We define and study the Tutte polynomial of a hyperplane arrangement. We introduce a method for computing it by solving an enumerative problem in a finite field. For specific arrangements, the computation of Tutte polynomials is then reduced to certain related enumerative questions. As a consequence, we obtain new formulas for the generating functions enumerating alternating trees, labelled trees, semiorders and Dyck paths.27 pages, 2 figuresCombinatorics05A15; 52C35; 05B35text