2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64610Let f_1,f_2,..., be functions chosen independently and uniformly from the set of all functions from a set of cardinality n into itself. Let g_t be the composition of the first t functions, and let T be the smallest t for which g_t is constant. We find the limiting distribution of T/n, as n --> infinity.update references and conjecture's statusCombinatoricsProbability05A16, 05A05, 60C05, 60J10text