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Topic: combinatorics in three dimensions: what is being enumerated?
Replies: 4   Last Post: Apr 4, 2013 4:07 AM

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David Bernier

Posts: 3,242
Registered: 12/13/04
combinatorics in three dimensions: what is being enumerated?
Posted: Apr 3, 2013 6:26 AM
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I'm counting something. What could it be?

000
001
010
011
100
101
110
111
============
Subtotal: 8


00*
0*0
*00
0*1
*01
01*
*10
*11
10*
1*0
1*1
11*
=============
Subtotal: 12


0**
**0
*0*
**1
*1*
1**
==============
Subtotal: 6

***
==============
Subtotal: 1



Now summarizing the above, where below star means also
asterisk, we get:

0-Star: 8
1-Star: 12
2-Star: 6
3-Star: 1
==========================
Grand Total: 27



Note: 3^3 = 27.

What could I be enumerating?


Clue given in the ROT13 substitution cipher:

pbhagvat gur snprf bs ulcrephorf eniv inxvy



David Bernier
--
$apr1$LJgyupye$GZQc9jyvrdP50vW77sYvz1



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