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3. Fifty people are asked to go from N.Y to LA. They have the options to travel by car, train, bus or plane. What is

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3. Fifty people are asked to go from N.Y to LA. They have the options to travel by car, train, bus or plane. What is the probability that 10 people travel by car, 5 by train, 8 by bus and the remaining decide to fly (Assume that each person independently makes the decision and randomly picks any one of the four available options)

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