- In how many ways can two queens, two rooks, one white bishop, one black bishop, and a knight be placed on a standard
chessboard so that every position on the board is under attack by at least one piece?
Note: The color of a bishop refers to the color of the square on which it sits, not to the color of the piece. - Can you attack every position on the board with fewer than seven pieces?
Solution
- Two ways as follow:
- No. (…and I’m not pretty sure about this No)
Improved chessboard images via this website using Creative Commons.
I have an example of 6 queens attacking every position on a chess board (pardon my bad ascii gfx):
: : : : : : Q :
: Q : : : : : :
: : : : : : : :
: : Q : : : : :
: : : : : Q : :
: : : Q : : : :
: : : : : : : :
: : : : Q : : :