A system uses $11$ bit addresses, with a three bit page number, and doesn't limit the memory available to processes.

The system maintains a free frame list that currently has the following entries and frames are allocated from the head of the list:

HEAD $-->3-->4-->6-->$ NULL

A process has the following page table. An X indicates that there's no mapping$/$ translation.

Page Table

Page Frame

$0$ X

$15$

$27$

$3$ X

$42$

$5$ X

$60$

$71$