8 Different shirts and 4 Different People. Ordered Partition as it would matter who gets which Two shirts. Say, In One Partiton, Ram gets Shirts A,B and Shyam gets Shirts C,D. So, This is One partition. But If Ram gets shirts C,D and Shyam gets shirts A,B then It will also be considered a valid and different partition than the previous one. So, Here Order of Partition matters.
hence the Answer = $\binom{8}{2} \times \binom{6}{2} \times \binom{4}{2} \times \binom{2}{2}$