Question: Question 5: Let n be a positive integer and consider a 1 x n board Bn consisting of n cells, each one having sides of


Question 5: Let n be a positive integer and consider a 1 x n board Bn consisting of n cells, each one having sides of length one. The top part of the figure below shows B You have an unlimited supply of bricks, which are of the following types (see the bottom part of the figure above): There are red (R) and blue(B) bricks, both of which are 1 1 cells. We refer to these bricks as squares There are green (G) bricks, which are 1 2 cells. We refer to these as dominoes. A tiling of the board Bn is a placement of bricks on the board such that the bricks exactly cover B, and no two bricks overlap. In a tiling, a color can be used more than once and some colors may not be used at all. The figure below shows an example of a tiling of B
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