Clean, peel, rinse and cut the carrots into thin slices. Dice the cooked ham slices. Put pasta, carrots, peas, milk, vegetable stock and processed cheese in a large, wide saucepan, e.g., a wok and bring to the boil, stirring occasionally. Season the dish with a little salt, a few turns of colored or black pepper from the mill and, if desired, with a little freshly grated nutmeg. Cover and cook the pasta for about 8 to 10 minutes, stirring occasionally.
Rinse the chives, shake dry and cut into fine rolls. Mix the cooked ham with the pasta. Sprinkle the dish with the chives.
Instead of carrots and peas, you can use zucchini cut into cubes, broccoli florets, corn or spinach.