\((A)\) In octahedral complex: \(\left[ M \left( H _{2} O \right)_{6}\right]^{2+}\)
\(C.F.S.E.\) \(=\left(-0.4 \Delta_{0}\right) \times 4+\left(+0.6 \Delta_{0}\right) \times 2+0 \times P\)
\((B)\) In tetrahedral complex: \(\left[ M \left( H _{2} O \right)_{4}\right]^{2+}\)
\(C.F.S.E.\) \(=\left(-0.6 \Delta_{t}\right) \times 3+\left(+0.4 \Delta_{t}\right) \times 3+0 \times P\)
\(=-0.6 \Delta_{ t }\)
$(I)\, d^3\,\,\, (II)\, d^5 \,\,\,(III)\, d^6 \,\,\,(IV)\, d^8$