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A ride at Disneyland can hold 2 people in the front seat and
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06 Apr 2019, 09:59
06 Apr 2019, 09:59
Expert Reply
00:00
Question Stats:
64% (00:54) correct
35% (00:46) wrong based on 17 sessions
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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
A. 30
B. 56
C. 90
D. 120
E. 336
Re: A ride at Disneyland can hold 2 people in the front seat and
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15 Apr 2020, 13:09
15 Apr 2020, 13:09
Expert Reply
2 of 8 friends are already decided to go in first ride and their positions also are already fixed so we only need 3 more individuals out of remaining 6 for the first ride
3 out of 6 for teh first ride can be selected in 6C3 = 20 ways
Those selected 3 in first ride can be seated in 3! ways
i.e. first ride may be taken in 6C3*3! = 30*6 = 120 ways
Answer: Option D
3 out of 6 for teh first ride can be selected in 6C3 = 20 ways
Those selected 3 in first ride can be seated in 3! ways
i.e. first ride may be taken in 6C3*3! = 30*6 = 120 ways
Answer: Option D
gmatclubot
Re: A ride at Disneyland can hold 2 people in the front seat and [#permalink]
15 Apr 2020, 13:09
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