SOLUTION: Good day! Please help me in my math homework.
In how many ways can 5 people be seated in a car, two in the front seat and 3 in the rear seat, if only 3 of the 5 can drive and o
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-> SOLUTION: Good day! Please help me in my math homework.
In how many ways can 5 people be seated in a car, two in the front seat and 3 in the rear seat, if only 3 of the 5 can drive and o
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Question 1063275: Good day! Please help me in my math homework.
In how many ways can 5 people be seated in a car, two in the front seat and 3 in the rear seat, if only 3 of the 5 can drive and others cannot?
Would really appreciate your help. Thank you! Found 3 solutions by josmiceli, rothauserc, ikleyn:Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! You will have 1 driver with 4 people left over
With each of the 3 possible drivers, the 4 left over
can arrange themselves
different ways. Since there can be 3 drivers,
that gives different seatings
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Note that if anyone could drive, they could be
seated different ways
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Definitely get a 2nd opinion on this.
You can put this solution on YOUR website! The assumption is that 2 students in the front seat and 3 students in the back seat is modeled by "arranging 5 students in 5 chairs"
:
(1) Since order is not important, then we have
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5! = 120 ways
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(2) There are 3 possibilities for the driver's seat
3C1 = 3! / (1! * (3-1)!) = 3
so we multiply 3 times 4! = 72
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There are 72 ways if only 3 of the 5 can drive and others cannot
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