how many squares can be formed in a chess board?
Anonymous:
If you want the right answer then it is 1296
You wanna know how then write a message to me.
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There are quite a few! This is an interesting problem. Let's tackle
the one about the squares first. There is only ONE 8x8 square. There
are FOUR 7x7 squares. There are NINE 6x6 squares, and so on. You can
see this by taking a square (say 6 by 6) and seeing how many squares
you can move it horizontally and how many vertically and multiplying
these two numbers together). If you see the pattern above, the answer
to the question as to how many squares there are is
1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2 + 7^2 + 8^2 = 204
the one about the squares first. There is only ONE 8x8 square. There
are FOUR 7x7 squares. There are NINE 6x6 squares, and so on. You can
see this by taking a square (say 6 by 6) and seeing how many squares
you can move it horizontally and how many vertically and multiplying
these two numbers together). If you see the pattern above, the answer
to the question as to how many squares there are is
1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2 + 7^2 + 8^2 = 204
Its actually 441
My mistake it's 1296, sorry
How
Like I said I it is a question on combinations
If you know about combinatorics may be I can tell you how.
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