Consider a mixture 'X' which is made by dissolving \( 0.4 \) mol of \([\mathrm{Co(NH_3)_5SO_4}]Br\) and \( 0.4 \) mol of \([\mathrm{Co(NH_3)_5Br}]SO_4\) in water to make \( 4 \, \mathrm{L} \) of solution. When \( 2 \, \mathrm{L} \) of mixture 'X' is allowed to react with excess of \( \mathrm{AgNO_3} \), it forms precipitate 'Y'. The rest \( 2 \, \mathrm{L} \) of mixture 'X' reacts with excess \( \mathrm{BaCl_2} \) to form precipitate 'Z'. Which of the following statements is CORRECT?