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 :) )

BigBoiChungus Jun 22, 2021

#1**+1 **

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.

=^._.^=

catmg Jun 22, 2021