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number countries

 
 
Reply Mon 18 Sep, 2006 11:07 pm
In mathematica country 1,2,3,4...8,9 are nine cities. Cities that form a number that is divisible by 3 are connected by airplanes. (e.g. cities 1 & 2 form number 12, which divisible by 3 then 1 is connected to city 2). Find the total number of ways you can go to 8 if you are allowed to break the journeys.

__OHH__
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thoh13
 
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Reply Mon 18 Sep, 2006 11:56 pm
go to 8 from where?

can u repeat paths?
from 2 to 1....from 1 to 8
from 1 to 2 to 1 to 8
from 2 to 1 to 2 to 1 to 8...
the answer is infinate if u can do that
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markr
 
  1  
Reply Tue 19 Sep, 2006 12:13 am
There are three sets of cities:
A: 1, 4, 7
B: 2, 5, 8
C: 3, 6, 9

You can travel back and forth between sets A and B, but you can only travel within set C.

If you start in C, the answer is zero.
You can get from anywhere in A to 8 in one hop.
You can get from anwhere in B to 8 in two hops.

Where do you start?
Can you visit a city more than once?
Can you travel on the same flight more than once?
What does it mean to "break the journeys?"
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