A housing apparatus includes housing units in which a plurality of permanent magnets are housed, respectively; binding units which are arranged in the housing units, respectively, and bind the permanent magnets in the housing units, respectively; permanent magnet detectors which are arranged in the housing units, respectively, and detect whether the permanent magnets are housed in the housing units, respectively; and a control unit which controls the binding units to selectively keep the permanent magnets in a binding state or a nonbinding state on the basis of detection results of the permanent magnet detectors.