Incorrect statement among the following is;

I) ${\mathrm{LiAlH}}_4$ can reduce an amide into an amine without change in the number of carbon atoms

II) A primary amide can be reduced to a primary amine by ${\mathrm{Br}}_2/\mathrm{KOH}$ with the same number of carbons

III) A primary amide can be reduced to a primary amine by ${\mathrm{LiAlH}}_4$ with $(\mathrm{n}-1)$ carbon atoms

IV) Hoffmann's bromamide reaction is useful to prepare aniline from benzamide