In how many different arrangements can six trees be planted on the circumference of a circular garden if two arrangements are considered different when the positions of the trees are different relative to those of the others?
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Trees planted around a circle
Source: Beat The GMAT — Problem Solving |
Same answer, different approach.
You can place the first one anywhere, so 1. Then place the other 5 in 5!. So answer is 5! = 120
You can place the first one anywhere, so 1. Then place the other 5 in 5!. So answer is 5! = 120
As tom4lax said it doesn't matter where you start.
It is stated in the question:
if two arrangements are considered different when the positions of the trees are different relative to those of the others?
There are always 6 possibilities where you can start from and they are all considered to be equal.
HTH
It is stated in the question:
if two arrangements are considered different when the positions of the trees are different relative to those of the others?
There are always 6 possibilities where you can start from and they are all considered to be equal.
HTH
