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A ride at Disneyland can hold 2 people in the front seat and

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A ride at Disneyland can hold 2 people in the front seat and [#permalink] New post 07 May 2018, 10:30
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A ride at Disneyland can hold 2 people in the front seat and 3 in the back seat. A group of 8 friends wish to go on the ride, but since the ride can only hold 5 people at a time, 5 of the friends will go first while the other 3 will wait for the next car. Alice and Stephen will both go in the first group: Alice must sit in the front left seat and Stephen must sit in the back middle seat. In how many ways can the group of 8 friends fill the 5 spots if Alice and Stephen are present in each arrangement?


A. 30

B. 56

C. 90

D. 120

E. 336
[Reveal] Spoiler: OA

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Re: A ride at Disneyland can hold 2 people in the front seat and [#permalink] New post 08 May 2018, 20:40
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There are 5 seats and 8 friends for the first round. Alice will occupy the front middle and Stephen will occupy the back middle seat. Now there are 6 friends and 3 seats left. Since a person cannot be 'repeated', this will give us 6*5*4=120 options.
Re: A ride at Disneyland can hold 2 people in the front seat and   [#permalink] 08 May 2018, 20:40
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A ride at Disneyland can hold 2 people in the front seat and

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