perplexus.info :: Just Math : 5 peaceful rooks

5 peaceful rooks (Posted on 2021-12-18)

If 33 rooks are placed on a regular 8 by 8 chessboard there always exists at least one set of 5 rooks (ignore the colour) non-attacking each other.

a. Prove it.
b. What would be the number of rooks given a 10 by 10 chessboard ?

No Solution Yet Submitted by Ady TZIDON

Rating: 3.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

soln (it's deceptively easy)

| Comment 1 of 2

Whoops! I proved it for knights. (TBC)

Edited on December 28, 2021, 5:17 am

Posted by Steven Lord on 2021-12-28 05:08:54

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