Nine people are going on a camping road trip in 3 vehicles that hold 2. 4. and 5 passengers, respectively. In how many ways is it possible to transport the 9 people to the campground, using all vehicles? Solution we have to use all three vehicles so - 1st vehicle will carry either 1 or 2 people first case 1 people + second case 2 people in 11 st vehicle 9C1*[8C4*4C4 + 8C3*5C5] + 9C2*[7C4*3C3 + 7C3*4C4 + 7C2*5C5].