A railcar compartment has eight seats; four facing the engine and four facing away from the engine. Of 8 passengers, 1 prefers to face away from the engine, 2 prefer to face the engine, and the others have no preference. a) In how many ways can the passengers be seated if the order on each side of the car is disregarded. b) How many ways can the passengers be seated if the order of seating does matter in part (a)

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