Three friends living in the same house, Erman is waiting for 1 cargo package, Görkem is waiting for 2 cargo packages, and Kerem is waiting for 3 cargo packages. These three friends randomly distributed 6 cargo packages that arrived at the house without reading the recipient information on the packages. As a result of this distribution, everyone received the number of cargo packages they were expecting. Accordingly, what is the probability that each of these three friends received the packages they were expecting? A) $\frac{1}{45}$ B) $\frac{1}{60}$ C) $\frac{1}{72}$ D) $\frac{1}{84}$ E) $\frac{1}{120}$
Three friends living in the same house, Erman is waiting for 1 cargo package, Görkem is waiting for 2 cargo packages, and Kerem is waiting for 3 cargo packages. These three friends randomly distributed 6 cargo packages that arrived at the house without reading the recipient information on the packages. As a result of this distribution, everyone received the number of cargo packages they were expecting.
Accordingly, what is the probability that each of these three friends received the packages they were expecting?
A) $\frac{1}{45}$
B) $\frac{1}{60}$
C) $\frac{1}{72}$
D) $\frac{1}{84}$
E) $\frac{1}{120}$