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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 5, 2022
 #1
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I'm gonna take a guess here and say that your diagram meant to look like this:

 

        A        

     RRR

   CCCCC

 HHHHHHH

 

This can be done with a simple counting principle:

( I actually don't know how to do this that well so I'm taking a wild guess)

 

From the first to the second we have 3 possible ways.

From the second to the third we also have 3 possible ways.

From the third to the fourth we again have 3 possible ways.

 

SO, my wild guess says the answer is 27 (but it was a wild guess so check it.

coolcheekylaughwink

 Dec 5, 2022

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