Logically ANDing the IP address 192.168.168.188 with subnet mask 255.255.255.192 , we get 192.168.168.128 as the subnet id.
For subnet mask 255.255.255.192, #valid_hosts = 26 - 2 = 62
Since it is class C address, we'll concentrate only on last octet i.e. 128
128 = 10000000
Host bits of all 0's and all 1's will not be used for any host as they belong to subnet id and broadcast address respectively. So the first address and last address of the subnet cannot be assigned to any host.
10000000 and 10111111 will be excluded.
$\therefore$ Last octet of first host = 10000001 and Last octet of last host = 10111110
So valid range of IP addresses that can be assigned to hosts is 192.168.168.129 to 192.168.168.190