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In a locality, there are five small towns, $A, B, C, D$ and $E$. The distances of these towns from each other are as follows:

$AB=2km AC=2km AD>2km AE>3km BC=2km$ 

$BD=4km BE=3km CD=2km CE=3km DE>3km$.

If a ration shop is to be set up within $2$ km of each city, how many ration shops will be required?

  1. $2$
  2. $3$ 
  3. $4$ 
  4. $5$
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