Art 100 definitions:
Panelboard. A single panel or group of panel units designed for assembly in the form of a single panel, including buses and automatic overcurrent devices, and equipped with or without switches for the control of light, heat, or power circuits; designed to be placed in a cabinet or cutout box placed in or against a wall, partition, or other support; and accessible only from the front.
Switchboard. A large single panel, frame, or assembly of panels on which are mounted on the face, back, or both, switches, overcurrent and other protective devices, buses, and usually instruments. Switchboards are generally accessible from the rear as well as from the front and are not intended to be installed in cabinets.
Motor Control Center. An assembly of one or more enclosed sections having a common power bus and principally containing motor control units.
I would say a MCC is a switchboard that primarily contains motor control units.
Switchgear does not appear in 100. Isn't is a generic term that applies to all three of the others?