Correct Option (B)
A standard chessboard consists of an 8x8 grid of squares. The problem requires identifying the number of ways to choose 6 consecutive squares along the diagonals. There are two main diagonals on an 8x8 chessboard, each containing 8 squares.
For each of these 8-square diagonals, the selection of 6 consecutive squares can be made in the following ways:
- Starting from the 1st square, covering squares 1 through 6.
- Starting from the 2nd square, covering squares 2 through 7.
- Starting from the 3rd square, covering squares 3 through 8.
This yields 3 distinct ways to select 6 consecutive squares on a single 8-square diagonal. Since there are two such main diagonals, the total number of ways is 3 ways/diagonal × 2 diagonals = 6 ways.
Incorrect Options:
Options A (4), C (8), and D (12) are incorrect. These values do not correspond to the systematic calculation of selecting 6 consecutive squares along the two main 8-square diagonals of a standard chessboard, which correctly results in 6 possible ways.