A standard solenoid body and coils are combined with a non-magnetic armature tube containing a permanent magnet, preferably neodymium. The magnet is located in one of three positions within the armature. When biased toward the stop end of the solenoid, it may be configured to act as a push solenoid. When biased toward the collar end of the solenoid, it may be configured to act as a pull solenoid. In either case, no spring is required to return the armature to its de-energized position. Positioning the magnet in the middle of the armature defines a dual-latching solenoid requiring no power to hold it in a given state. A positive coil pulse moves the armature toward the stop end, whereas a negative coil pulse moves the armature toward the collar end. The armature will remain at the end to which it was directed until another pulse of opposite polarity comes along.