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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

RR

CC

H

 Dec 22, 2022
 #1
avatar+106 
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Did you make the diagram correctly?

 Dec 22, 2022
 #2
avatar+1622 
+3

For the first letter in the top row, we have 1 option, for the second letter in the second row we have 2 options, for the third letter in the third row we have 2 options, for the last row we have one option. The total permutations/cases are 1 x 2 x 2 x 1 = 4 different ways to spell ARCH (for this problem, not 4!)

 Dec 22, 2022

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