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.
A. 8
B. 9
C. 12
D. 24
E. 36

Addition principle中文
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Worked solution

1. 2017 AMC 8 官方解析

翻译：在下面的字母和数码的表格中，有多少种方法拼读出 AMC8？从中间的字母A开始，只允许从一个字母移动到相邻的字母或者数码上（可以上下左右移动，但是不能走对角线），图中已经给出一种走法．

83C18383C2M1C283C1M1A1M1C183C2M1C28383C183\begin{array}{ccccc} & 8_3 & C_1 & 8_3 & \\ 8_3 & C_2 & M_1 & C_2 & 8_3 \\ C_1 & M_1 & A_1 & M_1 & C_1 \\ 8_3 & C_2 & M_1 & C_2 & 8_3 \\ & 8_3 & C_1 & 8_3 & \end{array}

到“8”所有方法共有3×8=243 \times 8 = 24（种）．

Answer

D. 24

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