SOLUTION: A certain board game uses tokens made of transparent colored plastic. Each token looks like where each of the four different regions is a different color: either red, green, yel

Question 1201864: A certain board game uses tokens made of transparent colored plastic. Each token looks like
where each of the four different regions is a different color: either red, green, yellow, blue, or orange. How many different tokens of this type are possible? (Note: The white circle is a region.)

Answer by ikleyn(52779) (Show Source): You can put this solution on YOUR website!
.
A certain board game uses tokens made of transparent colored plastic. Each token looks like
where each of the four different regions is a different color: either red, green, yellow, blue, or orange.
How many different tokens of this type are possible? (Note: The white circle is a region.)
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The problem asks you: how many are there distinguishable circular permutations of 5 different objects (colored regions) ?


For the general case of n different objects the answer is   = (n-1)!


For the given case with n= 5 different colored regions, the answer is  

     =  = 1*2*3*4 = 4! = 24.

Solved, with complete explanations.

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To see many other similar (and different) solved problems, look into the lesson
- Persons sitting around a circular table
in this site, and learn the subject from there.

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