Among the dead in the accident in Sector 45 area were three occupants of the car and two passengers of the bus.
The bus caught fire after the accident but it was soon doused, police said.
The injured were rushed to the Sector 32 Government Medical College and Hospital.
The bus was going from Dharamsala in Himachal Pradesh to New Delhi.
The accident occurred at a traffic signal. Police said they were trying to ascertain whether the signal was working at the time of the accident.
Both the vehicles are believed to be at high speed at the time of the accident, police said.