Posted by Knights on Tuesday, December 11, 2012 at 11:17am.
In a chess variant, a "lord" can move one space at a time, either upward, or to the right, or diagonally upward and to the right. How many ways are there for a lord to move from the bottom left to top right corner of the 8 by 8 chessboard?
Thanks in advance for helping me!

A probability question i think  Steve, Tuesday, December 11, 2012 at 11:27am
Each move advances either upward or rightward or both. If there are n diagonal moves, then there are 14n up or right moves. So, there may be 0 to 7 diagonal moves, and the rest can be chosen in two ways.
so, there are
(0+2^14) + (1+2^12) + (2+2^10) + ... + (7+0) = 21872

A probability question i think  Knights, Tuesday, December 11, 2012 at 11:29am
ok thanks alot steve you really help alot

A probability question i think  Someone in the world, Tuesday, December 18, 2012 at 8:34pm
steve is wrong...

A probability question i think  Steve is wrong, Saturday, August 17, 2013 at 10:51am
You are wrong

A probability question i think  S_Dog, Wednesday, August 21, 2013 at 7:12pm
You guys....actually try to help out please.
Here, make a chart that cascades to the upperrightmost square. Kinda like Pascal's Triangle.
1............. 48639
1...................
1...................
1...................
1 7 25..............
1 5 13 .............
1 3 5 7 9...........
1 1 1 1 1 1 1 1 1 1 1
So the answer is 48639.
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