Final answer:
The maximum number of servers that can be connected in this Clos network is 1536.
Each spine can support 32 leaf switches, with 48 server ports each. Hence, 32 leaf switches multiplied by 48 server ports equals 1536 servers.
Therefore, the correct answer is: option '1536'.
Step-by-step explanation:
The maximum number of servers that can be connected in a Clos network with a leaf switch of 48 ports and a spine switch of 64 ports can be calculated by multiplying the number of leaf switches that can connect to a single spine switch by the number of ports on the leaf switch.
Each spine switch can support multiple leaf switches, as long as the total number of ports from the leaf switches does not exceed the number of ports on the spine switch.
Given that each leaf switch has 48 ports reserved for servers (assuming one port per server), and a single spine switch has 64 ports, we can calculate the maximum number of leaf switches that can connect to one spine switch.
This is determined by the ratio of the number of ports on the spine switch to the uplink ports on the leaf switch that connect to the spine.
If we assume there are two uplinks per leaf switch, the spine can accommodate:
64 / 2
= 32 leaf switches.
Finally, to find the maximum number of servers, we multiply the number of leaf switches by the number of server ports per leaf switch:
32 leaf switches * 48 server ports/leaf switch
= 1536 servers