Both Uses

dispose
in
The Darkest Minds
(Edited)

If it were possible, the car looked worse than before—like a toy that someone had wedged down the sink and run through the garbage disposal.
p. 124.9 *

disposal = to throw away
There were books and music and a TV at my disposal, which meant I never once had the opportunity to be bored.
p. 375.6 *

disposal = available for use

Definitions:

(1) (dispose as in: dispose of the waste)
to throw away
(2) (dispose as in: dispose of the matter)
to settle something so it no longer requires attention
(3) (dispose as in: dispose of the assets)
sell or transfer to another
(4) (dispose as in: disposed the troops along...)
the arrangement, positioning, or use of things
This sense of dispose can be used in the form disposal to indicate that a person can use something as they wish -- as in:
- I am at your disposal.
- She has many assets at her disposal.
(5) (dispose as in: Is she disposed to help?)
inclined (with a tendency to; or in the mood to)

This is usually seen in the form "disposed to..." or "disposed toward..."
(6) (meaning too rare to warrant focus)
Less commonly, disposing of can imply killing someone.