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APMOPS 2009 Question 26

APMOPS · APMOPS 2009

Question 26

There are 4 ways to select an L-shaped group of three unit squares from a $2\times2$ square. Find the number of ways to select the same L shape from the unshaded squares of the displayed $5\times5$ grid. The shaded cells, counting rows from top and columns from left starting at 1, are $(2,3),(3,2),(3,3),(3,4)$. Rotations are allowed.

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