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2017 AMC 8 Question 15

AMC8 · 2017 AMC 8

Question 15

In the arrangement of letters and numerals below, by how many different paths can one spell $\mathrm{AMC8}$? Beginning at the $A$ in the middle, a path allows only moves from one letter to an adjacent (above, below, left, or right, but not diagonal) letter. One example of such a path is traced in the picture.

Question illustration
  1. $ 8 $
  2. $ 9 $
  3. $ 12 $
  4. $ 24 $
  5. $ 36 $