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For a particular project, eight activities are to be carried out. Their relationships with other activities and expected durations are mentioned in the table below.

$\begin{array} {}\textbf{Activity} & \textbf{Predecessors} & \textbf{Duration (days)} \\ a & – & 3 \\ b & a & 4 \\ c & a & 5 \\ d & a & 4 \\ e & b & 2 \\ f & d &  9 \\ g & c,e & 6 \\ h & f,g & 2 \end{array}$

The critical path for the project is

  1. $a-b-e-g-h$
  2. $a-c-g-h$
  3. $a-d-f-h$
  4. $a-b-c-f-h$
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