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Number of ways of spelling Abracadabra in this grid

Determine the number of ways of spelling “mathematics” in the array below by following a path from top to bottom in which each letter is directly below, and just to the right or left of the previous letter.

                              M                          A        A                      T        T        T                 H        H        H        H             E        E        E        E        E        M        M        M        M        M        M             A        A        A        A        A                 T        T        T        T                      I        I        I                          C        C                               S 
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    Your question is identi$c$al to the linked question, except for the letters involved, so the answer to your question is the same: 252.2011-12-09

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