Opposite corners have been cut off
Logic
Level
2
You have an chess board in which two diagonally opposite corners have been cut off. You are given 31 dominos, Can you use the 31 dominos to cover the entire board?
Yes
No
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1 solution
Note that each domino will cover exactly 1 black and 1 white square and hence there must be same number of black squares as white for the complete tiling of the board. But, here we are cutting off two opposite corners which are of the SAME colour and hence, there are 30 squares of one colour and 32 of the other. So, the answer is N O