A drive system (21), for use in a washing machine (10), that includes a motor (23) and a planetary gearbox (26) having an outer casing (29) rotatably mounted by bearings (31A and 31B) between a tub (13) of the washing machine and the motor. A clutch (38) is selectively operable to engage the gears in a first mode to connect an input shaft (25) to drive at least a first output shaft (15) without speed reduction and, in a second mode, to drive the first output shaft at a controlled and reduced speed in one direction while simultaneously driving a second output shaft (18) at a second controlled and reduced speed the opposite rotational direction. The first gearbox output shaft (15) and the outer casing (29) are permanently rotationally fixed together in both first and second modes.