Homework Help: A probability question i think

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 14-n 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...

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