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combinatorics in three dimensions: what is being enumerated?
Posted:
Apr 3, 2013 6:26 AM


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:
0Star: 8 1Star: 12 2Star: 6 3Star: 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



