Question 1201864
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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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<pre>
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!/n}}} = (n-1)!


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

    {{{5!/5}}} = {{{(1*2*3*4*5)/5}}} = 1*2*3*4 = 4! = 24.
</pre>

Solved, with complete explanations.


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To see many other similar &nbsp;(and different) &nbsp;solved problems, &nbsp;look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =https://www.algebra.com/algebra/homework/Permutations/Persons-sitting-around-a-circular-table.lesson>Persons sitting around a circular table</A> 

in this site, &nbsp;and learn the subject from there.