A dispensing system for dispensing cleaning product for hand washing at a faucet comprises a cartridge having an internal reservoir for containing hand wash cleaning product, a nozzle configured in one of a plurality of key shapes, and a dispenser having a receptacle opening adapted to receive and engage the nozzle of the cartridge when the receptacle opening is configured in one of a plurality of key shapes corresponding to the key shape of the nozzle, the dispenser having a fluid communication passage for dispensing fluid for hand washing, whereby only cartridges and dispensers which have matched key shapes will engage each other for operative discharge of the hand wash cleaning product.