2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120853We define an excedance number for the multi-colored permutation group, i.e. the wreath product of Z_{r_1} x ... x Z_{r_k} with S_n, and calculate its multi-distribution with some natural parameters. We also compute the multi-distribution of the parameters exc(pi) and fix(pi) over the sets of involutions in the multi-colored permutation group. Using this, we count the number of involutions in this group having a fixed number of excedances and absolute fixed points.16 pages, 1 figure; submittedCombinatoricsGroup Theory05E15Statistics on the multi-colored permutation groupstext