2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138125We define new statistics, (c, d)-descents, on the colored permutation groups Z_r \wr S_n and compute the distribution of these statistics on the elements in these groups. We use some combinatorial approaches, recurrences, and generating functions manipulations to obtain our results.17 pages, no figures; submittedCombinatoricsGroup Theory05E15text