Step 1: Nature of AgCN
Silver cyanide is largely covalent. The cyanide group attacks through the nitrogen lone pair, since carbon is tied up in bonding with silver.
Step 2: Product
\(CH_3CH_2Br + AgCN \rightarrow CH_3CH_2NC + AgBr\). The product is ethyl isocyanide.
Step 3: Why others are wrong
\(CH_3CH_2CN\) forms with KCN, which is ionic and attacks through carbon. The amide and the amine are not formed under these conditions.
Final Answer:
The product is ethyl isocyanide, CH3CH2NC.
\[ \boxed{\text{(A)}\ CH_3CH_2NC} \]