(a)
In the formation of $d^{2}sp^{3}$ hybrid orbitals, two ($n -$1)$d$ orbitals of $e_{g}$ set i.e., $(n - 1)\ d_{z^{2}}and\ (n - 1)d_{x^{2} - y^{2}}$orbitals, one $ns\ and\ three\ np\left( np_{x},\ np_{y}\ and\ np_{z} \right)$ orbitals combine together and form six $d^{2}sp^{3}$ hybrid orbitals.