All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
King on the run (Posted on 2016-06-01) Difficulty: 3 of 5
A chess king starts at a position A in the top row of a standard chessboard. The number of paths of length 7 to a position B in the bottom row is a perfect square, but not a perfect cube.
The number of paths of length 7 from A to a position C in the bottom row is a perfect cube, but not a perfect square.
The number of paths of length 7 to a position D is both a perfect square and a perfect cube.

How many chess king paths of length 5 are there from B to C?

No Solution Yet Submitted by Ady TZIDON    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Another way - 2 partarmando2016-06-03 05:40:31
Some sharingsarmando2016-06-02 12:34:24
Some sharingsarmando2016-06-02 12:34:23
Some sharingsarmando2016-06-02 12:27:12
Solutioncomputer assisted solutionCharlie2016-06-01 15:37:46
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information