SOLUTION: Starting with the A moving one letter at a time vertically, horizontally, or diagonally, how many different paths spell ARCH? A RRR CCCCC HHHHHHHH

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Question 1207617: Starting with the A moving one letter at a time vertically, horizontally, or diagonally, how many different paths spell ARCH?
A
RRR
CCCCC
HHHHHHHH

Answer by greenestamps(13195) About Me  (Show Source):
You can put this solution on YOUR website!


The problem is not defined precisely.

Since all the occurrences of each letter occur on a single row, there are no horizontal moves.

For the same reason, a vertical move UP is not possible, so all vertical moves are down.

The diagonal moves that are allowed are not well defined.
(1) Can the diagonal moves be either down to the left or down to the right? or do they need to be down to the right?
(2) Can the diagonal moves (whether left or right) "jump"? For example, can you go from the 4th C to the 7th H? Or from the 4th C can you only go to either the 3rd or 5th H (or perhaps only to the 5th H)?

Re-post, defining the problem precisely.