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Where does Admin start?

The situation

A college is given the block 172.16.0.0/22 and must divide it between four departments:

| Department | Hosts needed | |-------------|--------------| | CSE | 500 | | ECE | 250 | | Mechanical | 100 | | Admin | 50 |

Subnets are allocated largest first (variable-length subnet masking), starting at the bottom of the block.

After CSE (/23), ECE (/24) and Mechanical (/25) are allocated in order from 172.16.0.0, where does Admin's subnet begin?