Step 1: Recall the definition of primary amines.
Primary amines have the general formula \(\mathrm{R{-}NH_2}\), where the nitrogen atom is attached to only one alkyl group.
Step 2: List possible alkyl groups for \(\mathrm{C_4H_{11}N}\).
The four possible primary amines are:
\(\mathrm{CH_3CH_2CH_2CH_2NH_2}\) (butan-1-amine),
\(\mathrm{CH_3CH(NH_2)CH_2CH_3}\) (butan-2-amine),
\(\mathrm{(CH_3)_2CHCH_2NH_2}\) (2-methylpropan-1-amine),
\(\mathrm{(CH_3)_3CNH_2}\) (2-methylpropan-2-amine).
Step 3: Conclusion.
Thus, four primary amines are possible for the given molecular formula.