Tuesday, May 5, 2009

Problem 30 - GMAT Combinatorics

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?

A) 720
B) 180
C) 160
D) 120
E) 60

4 comments:

  1. Circular arrangmenents no restrictions, right? So 5!? 120?

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  2. formula for circular arrangements is (n-1)! = (6-1)! = 5!

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  3. It is 60 folks .. here anticlockwise and clockwise are not counted twice but only once .. formula 1/2(n-1)!

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