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Letter Grid Path Counting

1300ApprenticeCombinatoricsCounting Principles

AMC 8 · 2017 · Problem 15

In the arrangement of letters and numerals below, by how many different paths can one spell 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. [Asymptote diagram]

Answer choices

A
8
B
9
C
12
D
24
E
36
0 students attempted0% solvedRating 1300

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