Step 1: Understanding the EAN rule.
The Effective Atomic Number (EAN) rule states that the total number of electrons around the central metal atom/ion in a complex should be equal to the atomic number of the nearest noble gas. Step 2: Analyzing the options. (A) \([ \text{Zn}(\text{NH}_3)_4 ]^{2+\):} This follows the EAN rule, as Zn has 30 electrons and the complex provides 30 electrons around the metal. (B) \([ \text{Cu}(\text{NH}_3)_4 ]^{2+\):} This does not follow the EAN rule as copper in this complex would not achieve a noble gas configuration (only 18 electrons). (C) \([ \text{Pt}(\text{NH}_3)_6 ]^{4+\):} This follows the EAN rule with platinum achieving 36 electrons. (D) \([ \text{Fe}(\text{CN})_6 ]^{4-\):} This follows the EAN rule as well. Step 3: Conclusion.
The correct answer is (B) \([ \text{Cu}(\text{NH}_3)_4 ]^{2+\)}.