Jump to content
BrainDen.com - Brain Teasers
  • 0

Spelling Beehive


hross
 Share

Question

In the diagram below, how many unique paths are there that spell the word "KAYAK"?

*You may begin at any K and end at any K

*You may only pass from one letter to a letter in an adjacent hexagon

*Since KAYAK is a palindrome, each path has a corresponding path moving in the opposite direction -- count these as two separate paths!

*Each path must contain 5 different hexagons -- so, for example, you cannot use the same letter "A" twice in one spelling

Spelling Beehive.png

Link to comment
Share on other sites

10 answers to this question

Recommended Posts

  • 0

Looks like

  Reveal hidden contents

because

  Reveal hidden contents

 

Link to comment
Share on other sites

  • 0
  On 5/8/2016 at 2:59 AM, CaptainEd said:

I think we need to add some more, namely the paths that start and end in the outer layer. I can't give a spoiler using my iPhone, so I leave the answer as an exercise to the reader.

Expand  

Good catch. It couldn't have been that easy. :wacko:

The additional paths number

  Reveal hidden contents

because

  Reveal hidden contents

 

Link to comment
Share on other sites

  • 0

Finally, got to my laptop, where I can use spoilers

Additional paths:

  Reveal hidden contents

 

Edited by CaptainEd
Link to comment
Share on other sites

  • 0

I got different numbers for additional paths:

  Reveal hidden contents

Does this check out?

Link to comment
Share on other sites

  • 0

Counting paths on Y instead of K:

  Reveal hidden contents

 

Link to comment
Share on other sites

  • 0

I agree with Logophobic. Finding the additional paths of KAYAK, you have 6 different patterns that can happen. Two are on the sides, and four are at the corners. In total, there are 102 different ones, doubled to get 204 paths. The patterns are different shapes that KAYAK can make on the edges. It is not really the mathematical way, but it works the same way.

 

 

Link to comment
Share on other sites

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.

Guest
Answer this question...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.

 Share

  • Recently Browsing   0 members

    • No registered users viewing this page.
×
×
  • Create New...