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5 October, 08:07

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?

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  1. 5 October, 11:50
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    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.
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