Boil 100 grams of vermicelli in 500 ml of water for 5-7 minutes until it becomes soft. Drain the water and keep the vermicelli aside.
In a mixing bowl, add 1 finely chopped onion, 1 grated carrot, 1/2 cup boiled and mashed potatoes, 1/4 cup boiled green peas, 1/4 cup chopped coriander leaves, 1/2 teaspoon ginger-garlic paste, 1/2 teaspoon garam masala, 1/2 teaspoon red chilli powder, salt to taste, and mix well.
Add the cooked vermicelli to the vegetable mixture and mix well. If the mixture is too dry, add 1-2 tablespoons of water to bind it together.
Divide the mixture into equal portions and shape them into round or oval cutlets.
Heat oil in a pan for shallow frying. Once the oil is hot, place the cutlets in the pan and fry them on medium heat until they turn golden brown and crispy on both sides.
Remove the cutlets from the pan and place them on a paper towel to absorb excess oil.
Serve the vermicelli cutlets hot with green chutney or tomato ketchup.