A pizza company plans to open new stores in different locations. They consider 6 possible new locations. There are 9 potential areas each location can serve which are listed in the following table.  Location Areas Served L1 3,4,8 L2 1,2,5 L3 1,4,7 L4 2,6,9 L5 3,5,9 L6 6,8,7 Each area must be served by at least one location. What is the minimum number of locations?

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A pizza company plans to open new stores in different locations. They consider 6 possible new locations. There are 9 potential areas each location can serve which are listed in the following table. 

Location Areas Served
L1 3,4,8
L2 1,2,5
L3 1,4,7
L4 2,6,9
L5 3,5,9
L6 6,8,7

Each area must be served by at least one location.

What is the minimum number of locations?

 
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