1.

A insects initially at origin has to move from (0,0) to (6,6). It moves towards +ve x-axis or +ve y-axis. In each step it moves from (x,y) to (x+1,y) or (x,y+1). Find the number of different paths it canfollow to complete it's journey if it does not pass through any of the four points (3,1),(3,2),(4,1) and (4,2).

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ANSWER :`469`


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