How many ways can there be two pieces of white and one black pawns on the chessboard?
| February 4, 2021 | education
The chessboard consists of 8 horizontal and 8 vertical lines. Accordingly, on the board of everything:
8 * 8 = 64 cells.
Pawns cannot stand on the first and last rank. On the last one, they turn into another figure, but they start moving from the second and seventh, respectively, and cannot walk back.
Therefore, they are left with:
64 – 8 * 2 = 48.
If we have put a white pawn on one square, then we can no longer put the second on the same square. Therefore, the total number of options is:
48 * 47 = 2256.
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