Correct answer: 2,5,16
The coefficients X, Y, and Z represent the stoichiometric ratios needed to balance the redox reaction between permanganate ions and oxalate ions in acidic solution, where 2 permanganate ions react with 5 oxalate ions and 16 protons to produce 2 manganese ions, 10 carbon dioxide molecules, and 8 water molecules, ensuring mass and charge conservation.