The system includes a hair color packet assembly having several individual hair color packets and one developer packet, each packet having a pump for delivering selected amounts of material to a mixing assembly. A control assembly operable in response to a user's input controls each of the pumps to deliver selected amounts of color material and developer material to a mixing assembly which mixes the colors and the developer and delivers it to a brushhead/distributor, which has openings through which the selected hair color formulation is delivered. The brushhead/distributor is mountable in a handle having a motor which drives the brushhead/distributor in a linear oscillating manner.