[Mn(H2O)6]2+
In this compound, the oxidation state of Mn is +2 and its outer electronic configuration is 3d5.
As H2O is a weak field ligand and crystal field is octahedral so the arrangement of electrons will be t32g eg2.
Hence, [Mn(H2O)6]2+ have 5 unpaired electrons.
[Mn(CN)6]4−
In this compound, the oxidation state of 9Mn is also +2 and its outer electronic configuration is also 3d5.
As CN− is a strong field ligand and crystal field is octahedral so the arrangement of electrons will be t52geg0.
Hence, [Mn(CN)6]4− have one unpaired electron.