Abstract: An electrical appliance assembly includes at least two electric operating modules and a connector. Each of the modules has a housing having a space defined therein, two openings in communication with the space, and blocks protruding from an edge defining the openings; a holder securely received in the housing and capable of holding an electrically drivable device. The connector has grooves and cutouts defined on a peripheral thereof and in communication with each other. The blocks on at least two electric operating modules are passable through the corresponding cutouts and can be slid into the corresponding grooves so as to selectively connect or detach the at least two electric operating modules and the connector.