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megatron13
Joined: 17 Jul 2013
Last visit: 29 Oct 2016
Posts: 44
Given Kudos: 19
Schools: HBS '18 (A) Yale '18 (D)
GMAT 1: 710 Q49 V38
GRE 1: Q166 V160
GPA: 3.74
05 Sep 2014, 13:02
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
27% (02:04) correct
73%
(01:38)
wrong
based on 657
sessions
History
Date
Time
Result
Not Attempted Yet
7 people (A, B, C, D, E, F and G) go to a movie and sit next to each other in 7 adjacent seats in the front row of the theater.
How many different arrangements are possible? If A will not sit to the left of F and F will not sit to the left of E. How many different arrangements are possible.
A) 7!/2
B) 7!/3
C) 7!/4
D) 7!/5
E) 7!/6
How many different arrangements are possible? If A will not sit to the left of F and F will not sit to the left of E. How many different arrangements are possible.
A) 7!/2
B) 7!/3
C) 7!/4
D) 7!/5
E) 7!/6
05 Sep 2014, 13:28
Kudos
Bookmarks
megatron13
7 people (A, B, C, D, E, F and G) go to a movie and sit next to each other in 7 adjacent seats in the front row of the theater.
How many different arrangements are possible? If A will not sit to the left of F and F will not sit to the left of E. How many different arrangements are possible.
A) 7!/2
B) 7!/3
C) 7!/4
D) 7!/5
E) 7!/6
How many different arrangements are possible? If A will not sit to the left of F and F will not sit to the left of E. How many different arrangements are possible.
A) 7!/2
B) 7!/3
C) 7!/4
D) 7!/5
E) 7!/6
7 people can be arranged in a row in 7! ways.
Now, three people among those 7 can be arranged in 3! = 6 ways:
AFE
AEF
EAF
EFA
FAE
FEA
From the 6 arrangements above only EFA is possible (A is not to the left of F and F is not to the left of E), so out of total 7! ways only in 1/6th of the arrangements they are sitting as they want.
Answer: E (7!/6).
General Discussion
05 Sep 2014, 13:30
Kudos
Bookmarks
megatron13
7 people (A, B, C, D, E, F and G) go to a movie and sit next to each other in 7 adjacent seats in the front row of the theater.
How many different arrangements are possible? If A will not sit to the left of F and F will not sit to the left of E. How many different arrangements are possible.
A) 7!/2
B) 7!/3
C) 7!/4
D) 7!/5
E) 7!/6
How many different arrangements are possible? If A will not sit to the left of F and F will not sit to the left of E. How many different arrangements are possible.
A) 7!/2
B) 7!/3
C) 7!/4
D) 7!/5
E) 7!/6
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