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Circular arrangement with condition

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Circular arrangement with condition

by saloniarora » Sun May 20, 2012 1:31 am
6 people including A & B are to be arranged on a circular table. two arrangements are considered different only when the positions of the people are different relative to each other. If A & B sit on opposite chairs, how many different arrangements are possible?

a) 12
b) 24
c) 48
d) 60
e) 120

OA: C
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Junior | Next Rank: 30 Posts
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by sownthar » Mon May 21, 2012 6:50 pm
When we have A and B in opposite seats, lets make them fixed arrangements.

For other 4 arrangements, 4! = 24

and when A and B sit opposite there can be two combination of arrangements ( AB , BA)

So, 24 * 2 = 48

OA C

Please post if any other approach is applicable.
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