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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"?

 

\(\begin{array}{cccc} A & R & C & H \\ R & C & H & \\ C & H & & \\ H & & & \end{array} \)

 Dec 15, 2023

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                   1• 2 • 2 • 2  =  8 ways to spell ARCH.  

 

Start with the A. There is only one A so 1 way to get there.    

 

Once you leave the A, there are 2 ways to get to an R.  

 

Once you leave the R, there are 2 ways to get to a C.  

 

Once you leave the C, there are 2 ways to get to an H.   

.

 Dec 16, 2023

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