Wash the young potatoes, cut the large potatoes into halves or quarters. Peel the carrots and cut them into cubes.
Put all this in boiling water, add 2 cloves of unpeeled garlic, salt and cook for 10 minutes. Drain the water.
Preheat oven to 180 degrees. Put the potatoes on a baking sheet, crush a little (with light pressure) so that they crumple just a little and are saturated with spices during the baking process.
In a separate bowl, mix olive oil, vinegar, all spices and chopped herbs, and crushed garlic (3 cloves).
Pour the potatoes with the mixture and send them to the oven until golden brown.