As nouns the difference between caret and carpet
is that
caret is a mark: ⟨
⟩ used by writers and proof readers to indicate that something is to be inserted in the place marked by the caret or
caret can be a kind of turtle, the hawksbill while
carpet is a fabric used as a complete floor covering.
As a verb carpet is
to lay carpet, or to have carpet installed, in an area.