Answer to Question #214 in Geometry for _marta_

Question #214
A chessboard is given. It is allowed simultaneously to paint into another colour all cells located in a square 2x2. Is it possible to get only one black cell on the board?
Expert's answer
When repainting a square with sizes 2x2, consisting of k black and (4-k) white cells, we will get (4-k) black and k white cells. That is why the number of black cells will change to (4-k)-k= 4-2k, that is, even number. Taking into account a fact that evenness of number of black cells does not change, from initial 32 black cells we won’t be able to get one black cell.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!


No comments. Be first!

Leave a comment

Ask Your question

New on Blog