**Chess Puzzle - 11 January**

How many squares, of any size, can you find on this chess board which do not contain a Rook?

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How many squares, of any size, can you find on this chess board which do not contain a Rook?

Labels:
Difficulty Level 4/5,
Square Count

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Many :-)

ReplyDelete136

ReplyDeleteitz 30

ReplyDeleterini 30 :p

ReplyDeleteThere are 62 squares of size 1x1.

For the small squares (1..3 in size) the number is (9-n)^2-2*n^2 so you get 62, 41 and 18 squares of size 1..3 (total 121) for the rest it's easier to count what's allowed. There's 1 of size 5 and 6 of size 4 so that's an overall total of 126.

ReplyDeleteTypo by you Aadi?

This comment has been removed by the author.

ReplyDeleteThis comment has been removed by the author.

ReplyDelete128.

ReplyDeleteThe are 62 1x1's, 41 2x2's, 18 3x3's, 6 4x4's and 1 5x5.

I'm sure I'm right this time :P

yo yo 128

ReplyDelete80

ReplyDelete32

ReplyDelete62 + 41 + 18 + 6 + 1 = 128 squares without a rook.

ReplyDelete