SOLUTION: A van has eight seats. How many ways can people be seated if only five can drive

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Question 972432: A van has eight seats. How many ways can people be seated if only five can drive
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
We assume that the driver's seat is 1 of the 8, and there are
7 non-driver seats.

We can choose the driver 5 ways.
For each of those 5 ways to choose the driver, we can arrange 
the other 7 people in the 7 non-driver seats in 7! ways.

Answer: 5×7! = 5×5040 = 25200 ways

Edwin

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