How many seating arrangements are possible for 5 people to sit in the 5 seats of a car if 1 person sits in each seat and only 3 of the 5 people can sit in the driver's seat?

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The number of ways to seat the driver is 3. The next seat can go to any of the remaining 4 people. The next seat can then go to the remaining 3 people and so forth.

$$ 3\cdot4\cdot3\cdot2\cdot1 = \boxed{72}$$