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The hexagon with the R is colored red. Each hexagon is colored either red, yellow or green, such that no two hexagons with a common side are colored the same color. In how many different ways can the figure be colored? (please answer completely, with the solution :) )

 

 Jun 22, 2021
 #1
avatar+2246 
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Notice how each hexagon has at least 2 other hexagons around it. 

That means that once those 2 hexagons next to it are shaded, the other one has to be the other colour. 

I think the answer would be 2 because you can put yellow on the top and green on the bottom on the second column, or green on top and yellow on bottom. Once those 2 colours are put, the rest of the pattern can only be shaded in 1 way. 

 

=^._.^=

 Jun 22, 2021
 #2
avatar+55 
-1

Thank you so much! (ノ◕ヮ◕)ノ*:・゚✧

BigBoiChungus  Jun 22, 2021
 #3
avatar+2246 
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You're welcome. :))

 

=^._.^=

catmg  Jun 22, 2021

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