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In a Linear Programming Problem, suppose there are three basic variables and 2 non-basic variables, then the possible number of basic solutions are

  1. 6
  2. 8
  3. 10
  4. 12
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Total number of basic solutions are given by the eqn

n!/m! * (n-m)!

where m=3 no of basic variables and n=3+2 =5 total no of variables

hence total soln =5!/3!2!=5x4/2=10

Ans is C
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