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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

 Oct 1, 2023
 #1
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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

\(3\times3\times3=\boxed{27}\)

 Oct 2, 2023

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