A detergent dispenser may be positioned to dispense detergent into a wash tub of a household appliance, and may include: a detergent carrier with a plurality of detergent units, each of the detergent units including one or more walls defining a cavity with a dispensing opening, and a door movable between an open and closed position; a housing for receiving the detergent carrier, the housing including a dispensing outlet; a carrier driver for moving the detergent carrier between a plurality of positions, each position orienting one of the dispensing units proximate the dispensing outlet, where when one of the dispensing units is proximate the dispensing outlet the door of the one of the plurality of dispensing units is open, otherwise the door is closed.