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"?
ARCHRCHCHH
1• 2 • 2 • 2 = 8 ways to spell ARCH.
Start with the A. There is only one A so 1 way to get there.
Once you leave the A, there are 2 ways to get to an R.
Once you leave the R, there are 2 ways to get to a C.
Once you leave the C, there are 2 ways to get to an H.
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