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B
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Difficulty:
35%
(medium)
Question Stats:
65% (00:59) correct
35%
(01:23)
wrong
based on 926
sessions
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Seven family members are seated around their circular dinner table. If only arrangements that are considered distinct are those where family members are seated in different locations relative to each other, and Michael and Bobby insist on sitting next to one another, then how many distinct arrangements around the table are possible?
A. 120
B. 240
C. 360
D. 480
E. 720
A. 120
B. 240
C. 360
D. 480
E. 720
04 Oct 2010, 09:06
Kudos
Bookmarks
eladshush
Seven family members are seated around their circular dinner table. If only arrangements that are considered distinct are those where family members are seated in different locations relative to each other, and Michael and Bobby insist on sitting next to one another, then how many distinct arrangements around the table are possible?
A. 120
B. 240
C. 360
D. 480
E. 720
A. 120
B. 240
C. 360
D. 480
E. 720
Glue Michael and Bobby so that they create one unit, so we would have total of 6 units: {1}{2}{3}{4}{5}{MB} --> # of different arrangements of \(n\) objects around the table (circular arrangements) is is \((n-1)!\), so our 6 objects can be arranged in \((6-1)!=5!\).
On the other hand Michael and Bobby in 2! ways --> total \(5!*2!=240\).
Answer: B.
Similar question also posted by you: ways-to-sit-around-the-table-102187.html
General Discussion
04 Oct 2010, 09:01
Kudos
Bookmarks
eladshush
Seven family members are seated around their circular dinner table. If only arrangements that are considered distinct are those where family members are seated in different locations relative to each other, and Michael and Bobby insist on sitting next to one another, then how many distinct arrangements around the table are possible?
A. 120
B. 240
C. 360
D. 480
E. 720
A. 120
B. 240
C. 360
D. 480
E. 720
Are you sure you got the right OA on this one ?
As I see it : 7 members, and Michael & Bobby sit together. So treat those two like a single person. Now you have to arrange 6 people around a table. This may be done in 5! or 120 ways
The number of ways to arrange Michael & Bobby is 2 (MB or BM).
So net there are 240 ways or B
I don't think this is a GMAT level question, may be a tad too hard
