Step 1: Write the structure from the name.
n-Hexadecyl trimethyl ammonium chloride consists of one hexadecyl group \((\text{C}_{16}\text{H}_{33})\) attached to a quaternary ammonium ion along with three methyl groups.
Step 2: Count methyl groups in the hexadecyl chain.
The n-hexadecyl group has the structure:
\[
\text{CH}_3-(\text{CH}_2)_{14}-
\]
This chain contains one terminal methyl group and 13 methylene groups.
Step 3: Add methyl groups from ammonium part.
Trimethyl ammonium contains three additional methyl groups.
Step 4: Total count.
Methyl groups from hexadecyl chain = 11
Methyl groups from trimethyl ammonium = 3
Total methyl groups = \(11 + 3 = 14\)
Step 5: Conclusion.
The total number of methyl groups present is 14.