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A 1×6 square unit rectangular grid has to be covered with six 1×1 square unit tiles. Three of the tiles are yellow, two are white, and one is blue. In how many ways can this task be done if:

 

a) there are no restrictions
b) no neighbouring tiles should be the same colour
c) at least one pair of neighboring tiles are the same color

 Feb 28, 2021
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a

6!=$\boxed{720}$

 

b

6!/12=$\boxed{60}$

 

c

6!-60=$\boxed{660}$

 Feb 28, 2021

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