Chess kings

Task number: 3447

How many ways are there to place a black king and a white king on a chessboard such that they do not threaten each other (i.e. they are not on adjacent squares)?

  • Solution

    If the white king is in a corner, the black king has 60 possibilities. If the white king is on the edge of the board, there are 58 possibilities. In other cases there are 55.

  • Answer

    The number of possible positions is \(4{\cdot} 60 + 24{\cdot} 58 +36{\cdot} 55=3{,}612\).

Difficulty level: Easy task (using definitions and simple reasoning)
Routine calculation training
Cs translation
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