Suppose an engineering college is having five departments such as ECE, CSE, IT$,$ EEE and civil with an intake of $180,120,120,60,30.$ The college needs to setup separate subnet for each of the departments and a separate subnet for an admin with $10$ nodes. It got an IP address range of $192\mathrm{.}168\mathrm{.}253/22$ from its nearby ISP. Find the range of IP addresses, subnet addresses and subnet mask for each of the subnets of the individual departments as well as for admin. Also find the possible extensions for each of the departments in the future without getting extra IP addresses.