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Problem of the Day #265: Delivering a Textbook December 9, 2011

Posted by Billy in : potd , trackback

Albert is situated on the coordinate plane at the point $(2,0)$. He wishes to give a textbook to his friend, who lives at $(0,1)$. Every step Albert takes, he moves one unit in either the positive $x$, positive $y$, negative $x$, or negative $y$ direction. How many paths of length $10$ can Albert walk such that he starts and ends at his home and he visits his friend’s house exactly once?


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