Woodcut and linocuts can take many forms as well. When you get into multiple colors, the process only gets more complex, which for me, equals more fun. The first of these is a multi block print, meaning a different wood block was carved for each color in the print. The key block is black and pulls all the colors together.
The other two pictures are using a process called color reduction. In color reduction, one block is used, starting with your lightest color, printing (you choose ahead of time the number of prints you desire in this process) on fine art paper, then carving away what you want to remain that color. You then move on to your next lightest color, ink up and print. You then carve away what you wish to remain that color, and so on. Each color is being layered on top of the previous colors, except the areas which have been carved away. The final color is the darkest, often black.