Value of Resistance

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There are 3 resistors with values (>0) of integer resistance R 1 , R 2 , R 3 R1, R2, R3 such that

  • their sum 'S' is as small as possible, and
  • ANY serial-parallel connection (so combinations should include only serial or only parallel or serial & parallel) between ANY of them results in different integer resistance values

Find the Value of 'S'.


The answer is 735.

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