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Nine people are going on a skiing trip in 3 cars that will 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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Nine people are going on a skiing trip in 3 cars that will 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?

User RoundPi
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Number of ways = 9P8 * 2P1 + 9P7 * 2P2 = 2(362880) + 2(181440) = 1,088,640
User Pratik Shelar
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