Jump to content
BrainDen.com - Brain Teasers
  • 0


Guest
 Share

Question

If you remember the game Instant Insanity you will recall you had to stack 4 cubes so that each stack face was composed of unique colors. This begged the question of how many different ways are there to stack the cubes? There are several ways to calculate this and most people would agree the answer is 82,944. (24^4 / 4 or 24^3 * 6 for example)

Moving to the popular Sudoku puzzles, can we get agreement on how many unique puzzles are possible? I do not know the answer and would be interested in seeing some clever and correct solutions.

Good luck!

Link to comment
Share on other sites

6 answers to this question

Recommended Posts

  • 0
Yes, it appears it has but that link required the use of a computer to do the complex calculations. I am looking for a solution that does not require a computer!

The solution that does not require a computer gives an upper bound:

It's simply 362880×86400×216×155520×60000×216×4374×256×1

= 15,284,122,844,890,207,459,737,600,000,000 puzzles.

This bound is astronomical and meaningless - it includes duplicates and wrong answers.

Are you saying that you can get a meaningful answer by a simple calculation?

Link to comment
Share on other sites

  • 0
The solution that does not require a computer gives an upper bound:

It's simply 362880×86400×216×155520×60000×216×4374×256×1

= 15,284,122,844,890,207,459,737,600,000,000 puzzles.

This bound is astronomical and meaningless - it includes duplicates and wrong answers.

Are you saying that you can get a meaningful answer by a simple calculation?

I agree one big meaningless number, and i was hoping to spark some interest and some clever thoughts on how to get to meaningful without a brute force computer routine.

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.

Loading...
 Share

  • Recently Browsing   0 members

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