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

Home > General
Counting Ten Segment Paths (Posted on 2016-02-19) Difficulty: 2 of 5
Multiple paths can be drawn on the grid below following along ten of the twelve segments but never using any segment twice.
+--+--+
|  |  |
+--+--+
|  |  |
+--+--+
How many such paths are there?

No Solution Yet Submitted by Brian Smith    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution re(2): As many as I found | Comment 4 of 6 |
(In reply to re: As many as I found by Charlie)

Categorizing the paths:


path      missing   missing segs description
           segs
hkifcadgjl  be adjacent at outside corner like a&c
hkifcadgeb  jl adjacent at outside corner like a&c
hkifcabegd  jl adjacent at outside corner like a&c
hkifcabejl  dg adjacent spokes of the wheel like d&f
hkidacfgjl  be adjacent at outside corner like a&c
hkidacfgeb  jl adjacent at outside corner like a&c
hkidbegfca  jl adjacent at outside corner like a&c
hkigebacfd  jl adjacent at outside corner like a&c
hkigebdfca  jl adjacent at outside corner like a&c
hkljgfcadi  be adjacent at outside corner like a&c
hkljgfcabe  di opposite spokes of the wheel like f&g
hkljgdacfi  be adjacent at outside corner like a&c
hkljebacfi  dg adjacent spokes of the wheel like d&f
hkljebacfd  gi adjacent spokes of the wheel like d&f
hkljebacfg  di opposite spokes of the wheel like f&g
hkljebdfca  gi adjacent spokes of the wheel like d&f

  Posted by Charlie on 2016-02-19 14:37:35
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