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In how many ways can you spell the word ROOM in the grid below? You can start on any letter R, then on each step you can step one letter in any direction (up, down, left, right, or diagonal). \[\begin{array}{ccccc} R&R&R&R&R\\ M&O&O&O&M\\ M&O&O&O&M\\ M&O&O&O&M\\ R&R&R&R&R \end{array}\]

 Jun 12, 2020
 #2
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Using casework, there are 28 + 44 = 72 ways.

 Jun 14, 2020

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