Studies of Charmless Two-Body, Quasi-Two-Body and Three-Body B Decays

Preliminary results are presented on a search for several exclusive charmless hadronic B decays, from data collected by the BABAR detector near the {Upsilon}(4S) resonance. These include two-body decay modes h{sup {+-}}h{sup {-+}}, three-body decay modes with final states h{sup {+-}}h{sup {-+}}h{sup {+-}} and h{sup {+-}}h{sup {-+}}{pi}{sup 0}, and quasi-two-body decay modes with final states X{sup 0}h and X{sup 0}K{sub s}{sup 0}, where h = {pi} or K and X{sup 0} = {eta}' or {omega}. The measurement of branching fractions for four decay modes, and upper limits for nine modes are presented.