2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76576We introduce a combinatorial enumeration problem that is solved using generalized Catalan numbers. We also study generalizations of the Cycle Lemma beyond the computation of the generalized Catalan numbers.14 pages, 8 included figuresCombinatorics05A15, 05A10text