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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

 Dec 13, 2023
 #1
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Start at the letter A.

 

For each possible step (down, up, left, right, diagonal), check if you can reach the next letter of "ARCH" ("R", then "C", then "H").

 

If you reach a letter and it's the last one ("H"), count it as a valid path.

 

Backtrack and keep exploring all possible paths from the previous step.

 

After exploring all possible paths starting from A, count the total number of unique paths found.

 

Using this method, you'll find that there are 5 unique paths you can take to spell "ARCH" from the starting A.

 Dec 13, 2023

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