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A roller coaster has five cars, each containing four seats, two in front and two
in back. There are 20 people ready for a ride. In how many ways can the ride
begin? What if a certa:in two people want to sit in different cars?

1 Answer

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Answer to a) part :

Number of choices to select a person for 1st seat = C(20,1)  =  20 ways [ As number of seats(choices) available to 1st person = 20 seats]

Number of choices to select a person for 2nd seat  = C(19,1)  = 19 ways

and so on till allocation of last seat

Hence number of ways   =  20.19.18.........1

                                    =  20 !

B) part is doubtful to me hence did not solve it..

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