This is a nucleophilic substitution reaction where the cyanide ion (CN⁻) acts as a nucleophile. The substrate is a secondary alkyl halide. Secondary halides can undergo both S_N1 and S_N2 mechanisms. In a polar protic solvent like the one used here, the S_N1 mechanism is favored, leading to a racemic mixture of products. However, cyanide is a strong nucleophile, which can promote the S_N2 pathway, resulting in inversion of configuration. The major product is the one with inverted stereochemistry.

The product [X] is: $C_6{H}_5*CH\left(CN\right)C{H}_3$ with inverted configuration.

Final Answer: (A) and (C)