2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66085We present a bijection between 321- and 132-avoiding permutations that preserves the number of fixed points and the number of excedances. This gives a simple combinatorial proof of recent results of Robertson, Saracino and Zeilberger, and the first author. We also show that our bijection preserves additional statistics, which extends the previous results.9 pages, 4 figuresCombinatorics05A05text