High School

If a checker is placed as shown below, how many possible paths are there for that checker to reach the top of the game board? Recall that checkers can travel only diagonally on the white squares, one square at a time, moving upwards.

Answer :

Final answer:

There are two possible paths for the checker to reach the top of the game board.

Explanation:

In this scenario, we have a checker on a diagonal grid where it can only move upwards, one square at a time, on white squares. The checker's position starts on the second row from the bottom.

To reach the top, it has two options: it can either move one square diagonally to the left and then one square diagonally to the right or vice versa. These are the only two possible paths for the checker to reach the top, as it can't move in any other direction due to the game's rules.

Therefore, there are two possible paths for the checker to reach the top of the game board.

Learn more about Paths.

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