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2 corner most boxes of a chess board(diagonally opposite) haven been cut out
there's a rectangular block = 2 sqaures of chess board , how many such blocks can be placed on the chess board ?”
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- chess board has 64 squares.so we can place 32 rectangular blocks,but 2 are cut off from the corner.
hence 32-2=30 blocks - 9 years agoHelpfull: Yes(2) No(0)
- Mutilated chessboard problem
Ans is 30 - 9 years agoHelpfull: Yes(1) No(5)
- google about mutilated chessboard problem(wiki).u ll get it.
- 9 years agoHelpfull: Yes(1) No(0)
- 30
refer https://en.wikipedia.org/wiki/Mutilated_chessboard_problem - 9 years agoHelpfull: Yes(0) No(0)
- Ans : 154
A rectangle block can be 1*2 / 2*3 / 3*4 / 4*5 / 5*6 / 6*7 / 7*8 . Its not just 1*2 as suggested by most in the answers section :/ .
Normal chessboard rectangles =8*7+7*6+6*5+5*4+4*3+3*2+2*1=56+42+30+20+12+6+2=168
No of rectangles that get eliminated due to removal of two blocks from the corner=2* (1*2 block ,2*3 block ,3*4 block ,4*5 block ,5*6 block ,6*7 block ,7*8 block)=2*(1+1+1+1+1+1+1)=14 blocks get eliminated .
No of rectangle blocks = 168-14=154
- 9 years agoHelpfull: Yes(0) No(0)
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