Question

2.48 Nine people are going on a skiing trip in 3 cars that hold 2, 4, and 5 passengers, respectively. In how many ways is it possible to transport the 9 people to the ski lodge, using all cars?
2

Answer 1

Five ways:
 1. 1 in the 2-passenger car, 3 in the 4-passenger car, and 5 in the 5-passenger car.

2. 1 in the 2-passenger car, 4 in the 4-passenger car, and 4 in the 5-passenger car.

 3. 2 in the 2-passenger car, 2 in the 4-passenger car, and 5 in the 5-passenger car.

 4. 2 in the 2-passenger car, 3 in the 4-passenger car, and 4 in the 5-passenger car.

5. 2 in the 2-passenger car, 4 in the 4-passenger car, and 3 in the 5-passenger car.