We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
57
1
avatar+1342 

Ok, so the problem is:

In a chess variant, a "lord" can move one space at a time, either upward, or to the right, or diagonally up 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?

 

I tried this problem, and I got...

https://imgur.com/a/Hy2NJkf

and the answer, 12870 is wrong!

 

(go to the link provided, it shows my work.)

 

Please help...

 Aug 26, 2019
edited by tommarvoloriddle  Aug 26, 2019
edited by tommarvoloriddle  Aug 26, 2019
edited by tommarvoloriddle  Aug 26, 2019
edited by tommarvoloriddle  Aug 26, 2019
edited by tommarvoloriddle  Aug 26, 2019
edited by tommarvoloriddle  Aug 26, 2019
edited by tommarvoloriddle  Aug 26, 2019
edited by tommarvoloriddle  Aug 26, 2019
 #1
avatar+23041 
+2

In a chess variant, a "lord" can move one space at a time, either upward, or to the right, or diagonally up 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?

 

\(\begin{array}{|c|c|c|c|c|c|c|c|} \hline 1 & 15 & 113 & 575 & 2241 & 7183 & 19825 & \mathbf{48639} \\ \hline 1 & 13 & 85 & 377 & 1289 & 3653 & 8989 & 19825 \\ \hline 1 & 11 & 61 & 231 & 681 & 1683 & 3653 & 7183 \\ \hline 1 & 9 & 41 & 129 & 321 & 681 & 1289 & 2241 \\ \hline 1 & 7 & 25 & 63 & 129 & 231 & 377 & 575 \\ \hline 1 & 5 & 13 & 25 & 41 & 61 & 85 & 113 \\ \hline 1 & 3 & 5 & 7 & 9 & 11 & 13 & 15 \\ \hline \mathbf{1} & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\ \hline \end{array} \)

 

laugh

 Aug 26, 2019

16 Online Users

avatar