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In a row of five squares, each square is to be colored either red, yellow, or blue, so that no two consecutive squares have the same color. How many ways are there to color the five squares, if there must be at least three yellow squares?

 Oct 27, 2023
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In a row of five squares, each square is to be colored either red, yellow, or blue, so that no two consecutive squares have the same color. How many ways are there to color the five squares, if there must be at least three yellow squares?  

 

Squares 1, 3, and 5 have to be the yellow ones. 

 

That leaves squares 2 and 4.  They can be

                                                                         red red  

                                                                         blue blue  

                                                                         red blue  

                                                                         blue red  

 

for a total of four ways to color the squares to satisfy the conditions of the problem.  

.

 Oct 27, 2023

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