Given the network $192\mathrm{.}168\mathrm{.}1\mathrm{.}0/24,$

a$)$ Calculate the number of hosts per subnet.

b$)$ What is the broadcast address of the subnet?

c$)$ You are tasked with designing a network for four departments with the following host requirements:

$120,60,30,$ and $10.$ Calculate the subnet masks needed for each department and its address range.