On a roller coaster, passengers board a vehicle with $5$ interconnected carts. These carts have $4$ seats each. A group of eight friends wants to occupy the first two carts exclusively, but Jo$$o$,$ Pedro and S$$rgio demand to board the front cart, while Soraia and Marta demand to board the second cart. In how many different ways can these eight people be placed in the first two carts, fulfilling everyone's request?