Explanation:

- Leaving his car with the valet: He arrives at the hotel and hands over his car keys to the valet.

- (1)_______ the hotel: He enters the hotel. Options might include 'entered,' 'approached,' etc.

- Joined the large crowd milling (2)______: He joins people who are moving around. Suitable prepositions could be 'around,' 'about,' etc.

- He found a badge waiting for him (3)_______ the receptionist’s table: This indicates location in relation to the table.

- Over: Suggests something physically above.

- At: Refers to being present or located by the table.

- In: Implies inside.

- By: Means next to or near.

- Took his (4)______ in the rear of the hall: He moves to a place to sit or stand. Options may include 'seat,' 'position,' etc.

- When the place was (5)_______: Describes the state of the place, e.g., 'filled,' 'ready.'