Finely shred the cabbage and carrot.
Crack the eggs into a bowl and add salt and pepper. Beat well.
Add the shredded cabbage and carrot to the eggs and mix together.
Heat a pan with cooking oil.
Pour the egg mixture into the pan and cook over medium heat.
When one side is cooked, fold it in half to form an omelette shape.
Once both sides are golden brown, transfer to a plate.