Programming Homework Help

Are all motherboards compatible with the mating pieces of other parts? Are all motherboards compatible with other parts? (Besides the CPU and fitting in with the case) Could I plug in any power supply to any motherboard? Are all of the outlets on the motherboard compatible with the mating piece of any GPU, cooler, RAM, or hard drive? I know that the sockets of CPUs don’t match up with any kind of motherboard, but do the other components fit in to any motherboard?