- Joined
- 26 Apr 03
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10 Oct 03
Originally posted by Lord Burn1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2 + 7^2 + 8^2
How many different spuares are there on a 8x8 checherboard?
You can find more than 64 I'll give you that much.
Explain your answer and how you did it.
= 204
[ = 8*(2*8+1)*(8+1)/6 from the formula for the sum of consecutive squares]
We get this because there is one way of placing an 8*8 square on the chessboard, four ways of placing a 7*7 square etc.
- Joined
- 26 Apr 03
- Moves
- 26771
10 Oct 03
Originally posted by Lord BurnHere's another one
How many different spuares are there on a 8x8 checherboard?
You can find more than 64 I'll give you that much.
Explain your answer and how you did it.
You have 3d chessboard of size N^3
How many different vertical and horzontal squares are there on this chessboard?