SOLUTION: 11 people plan a trip and hire a minibus that exactly accommodate all of them. If only 5 of the eleven people can drive, in how many ways can they be seated?
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Question 1065986: 11 people plan a trip and hire a minibus that exactly accommodate all of them. If only 5 of the eleven people can drive, in how many ways can they be seated? Answer by Edwin McCravy(20054) (Show Source):
Choose the driver any of (5C1) = 5 ways.
For each of the 5 choices of the driver, there are 10P10
or 10! ways to seat the 10 passengers.
Answer (5C1)(10P10) = 5*10! = 5*3628800 = 1,8144,000 ways.
Edwin
