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When an instructor dies mysteriously at an exclusive girl's school, Tom Lawrence (Tom Conway), a devil-may-care sleuth known as "The Falcon," reluctantly agrees to investigate. The death appears to have been induced by a heart attack, but the instructor's roommate (Rita Corday) had predicted that the victim would be murdered. The school's dean (Barbara Brown) dies shortly afterward, and suspicion falls upon the fencing instructor (Jean Brooks), who'd been in line to inherit the school. Other suspects include a foreign psychology professor (George Givot), who'd once courted the fencing teacher, and a meek music teacher (Isabel Jewell), to whom the foreign prof is secretly married. The murderer is revealed in a heart-stopping climactic scene played out on a perilous cliff overlooking the ocean. The Falcon and the Co-Eds is the sixth film in RKO Radio's "Falcon" series.