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The project activities are given in the following table along with the duration and dependency.

$$\begin{array}{|c|c|} \hline \textbf{Activities} &  \textbf{Duration (days)} & \textbf{Depends on}\\ \hline \text{P} & 10 & - \\ \hline \text{Q} & 12 & - \\ \hline \text{R} & 5 &  \text{P} \\ \hline \text{S} & 10 & \text{Q} \\ \hline \text{T} & 10 & \text{P, Q}\\ \hline \end{array}$$

Which one of the following combinations is correct?

  1. Total duration of the project = $22$ days, Critical path is $\text{Q} \rightarrow \text{S}$
  2. Total duration of the project = $20$ days, Critical path is $\text{Q} \rightarrow \text{T}$
  3. Total duration of the project = $22$ days, Critical path is $\text{P} \rightarrow \text{T}$
  4. Total duration of the project = $20$ days, Critical path is $\text{P} \rightarrow \text{R}$
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