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(D) In $[Mn(CN)_6]^{3-}$,$Mn$ is in $+3$ oxidation state ($3d^4$ configuration). Since $CN^-$ is a strong field ligand,it causes the pairing of $3d$ e

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$d^2sp^3, sp^3d^2$

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(D) In $[Mn(CN)_6]^{3-}$,$Mn$ is in $+3$ oxidation state ($3d^4$ configuration). Since $CN^-$ is a strong field ligand,it causes the pairing of $3d$ electrons,making two $3d$-orbitals vacant. These two $3d$,one $4s$,and three $4p$-orbitals hybridise to give $d^2sp^3$ hybridisation. In $[CoF_6]^{3-}$,$Co$ is in $+3$ oxidation state ($3d^6$ configuration). Since $F^-$ is a weak field ligand,it cannot cause the pairing of unpaired $3d$ electrons. Thus,one $4s$,three $4p$,and two $4d$-orbitals hybridise to give $sp^3d^2$ hybridisation.

The hybridisation of metals involved in the following complexes,$[Mn(CN)_6]^{3-}$ and $[CoF_6]^{3-}$,are respectively:

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