Posted by **May** on Wednesday, November 4, 2009 at 8:00pm.

In chess, a knight can move either two squares horizontally plus one vertically or two squares vertically plus one horizontall.

a) If a knight starts from one corner of a standard 8*8 chessboard, how many different squares could it reach after

i) one move?

ii) two moves?

iii) three moves?

- Math -
**PsyDAG**, Thursday, November 5, 2009 at 9:59am
From the corner, it could only reach 2 squares in the first move. In the center of the board, it can reach 8 different squares. However, in the second move, you have two different starting points, but they don't have the availability of all eight positions due to the edge of the board. Also, since the problem is phrased as "different squares," you cannot include the square(s) it was previously in.

I would suggest using a chessboard to deal with this problem.

I hope this helps. Thanks for asking.

- Math -
**Alex**, Sunday, September 27, 2015 at 9:30pm
DROP OUT

## Answer This Question

## Related Questions

- math - Imagine a small chess board, 3 x 3. If you place a knight on the top left...
- English - 1.The chessboard and pieces were placed so that (it, they) could be ...
- math - In a chess variant, a "lord" can move one space at a time, either upward...
- MATH - A four by four grid of unit squares contains squares of various sizes (1 ...
- Math - The squares of a 2×500 chessboard are coloured black and white in the ...
- math (please help!) - A crippled rook can move on a chessboard in the following ...
- A probability question i think - In a chess variant, a "lord" can move one space...
- Math (please help Steve) - A crippled rook can move on a chessboard in the ...
- English - from Sir Gawain and the Green Knight Why didn’t the Green Knight want ...
- math (please help steve) - Brilli the ant randomly placed a token into a square ...

More Related Questions