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Consider a regular octagon. How many triangles can be formed whose vertices are the vertices of the octagon?

Mr.Owl  Nov 19, 2017
 #1
avatar+88871 
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Label the vertices as   {A, B,C,D,E,F,G,and H}

 

So, we want all the sets that consist of choosing any 3 of the 8 without regard to order...

 

So 

 

C (8,3)   =  56  triangles

 

 

cool cool cool

CPhill  Nov 19, 2017
 #2
avatar+438 
+1

Thanks, That really helps!

Mr.Owl  Nov 19, 2017

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