Starting with the A and moving one letter at a time vertically, horizontally, or diagonally, how many different paths spell ARCH?
A
RRR
CCCCC
HHHHHHHH
Starting with the A moving one letter at a time vertically, horizontally, or diagonally, how many different paths spell ARCH?
A
RRR
CCCCC
HHHHHHHH
From the A you have 3 choices to the R.
From the R you have 3 choices to the C.
From the C you have 3 choices to the H.
Total possible paths to spell ARCH is 3 • 3 • 3 = 27
.