In the array below, in how many different ways can we start with the letter A and move from letter to letter (horizontally, vertically, or diagonally), to spell the word "ARCH"?
A
RRR
CCCCC
HHHHHHH
There are always 3 ways to get to the next letter from any given letter: down-left, down, and down-right.
There are 3 transitions: A-R, R-C, and C-H
\(3\times3\times3=\boxed{27}\)
+819 
