$1-$ Suppose AHU is allocated a block of IP address: $200\mathrm{.}23\mathrm{.}16\mathrm{.}0/20.$ Based on your knowledge on IP addressing, answer the following questions:

$($a$)$ How many hosts at maximum can AHU supply with public IP addresses? $(3$marhs$)$

$($b$)$ Suppose there are $8$ colleges that AHU needs to distribute the $P$ addresses to$.$ Suppose the IP address demand from each college is the same. What will be the block of IP addresses allocated to each college? How many hosts can each college supply with public IP addresses? $(6$ marks$)$

$($c$)$ Suppose there are $6$ colleges that AHU needs to distribute the IP addresses to$.$ Two of the colleges request twice as much IP addresses as the other $4.$ What will be the block of IP addresses allocated to each college? How many hosts can each college supply with publie IP addresses? $(6$ marks$)$