Given below are two statements:
Statement I: $\mathrm{PF}_5$ and $\mathrm{BrF}_5$ both exhibit $\mathrm{sp}^3 \mathrm{~d}$ hybridisation.
Statement II: Both $\mathrm{SF}_6$ and $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{3+}$ exhibit $\mathrm{sp}^3 \mathrm{~d}^2$ hybridisation.
In the light of the above statements, choose the correct answer from the options given below: