Seems logical?

Logic Level 2

A standard 8 × 8 8 \times 8 chessboard can easily be covered with non-overlapping dominoes (1x2 pieces): simply use 4 dominoes in each row.

But what if we remove two squares---one each from diagonally opposite corners of the chessboard? Can this modified chessboard be completely covered by non overlapping dominoes?

Sometimes Yes No

Syed Hamza Khalid by Syed Hamza Khalid , 17, France

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1 solution

Otto Bretscher
Dec 14, 2018

The numbers of black and white (or green and yellow?) squares on the new, reduced board differ by 2 (the way it is drawn, there are two more yellow squares). Since each domino will cover one fields of each colour, the answer is N o \boxed{No} .

0 Helpful 0 Interesting 4 Brilliant 0 Confused

Sir, can you please post a solution for this: https://brilliant.org/problems/confusing-question-no-way-out/

Jake Tricole - 2 years ago

1 pending report

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