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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

 Jun 25, 2024
 #1
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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   

.

 Jun 25, 2024

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