61 674
Assignments Done
97,9%
Successfully Done
In May 2018

Answer to Question #215 in Geometry for Raymond

Question #215
In every cell of a board with sizes 5x5 cells sits a bug. At some moment all bugs crawl into neighbouring (on horizontal or vertical) cells. Will an empty cell remain?
Expert's answer
As a total number of cells of chessboard with sizes 5x5 is odd, the number of black and white cells can not be equal. Let’s consider that there are more black cells. Then, there are less bugs, sitting on white cells, than on black. That is why at least one black cell will remain empty, since bugs, sitting on white cells, crawl on black cells.

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!

Comments

No comments. Be first!

Leave a comment

Ask Your question

Submit
Privacy policy Terms and Conditions