The company let me ____ time off work.
The company let me ____ time off work.
Explanation
The verb "let" is followed by the base form of the verb (without "to").
So we say: "let me take", not "to take" or "taking."
The verb "let" is followed by the base form of the verb (without "to").
So we say: "let me take", not "to take" or "taking."