How much water can be made from 3.17 x 10^24 hydrogen molecules

By "How Much water "I assume you mean mass of water.
Equation :
2H2 + O2 → 2H2O
2mol H2 will produce 2 mol water
Mol H2 in 3.17*10^24 molecules of H2
Mol = ( 3.17*10^24) / (6.022*10^23) = 5.26 mol H2

This will produce 5.26 mol H2O
Molar mass H2O = 18g/mol
5.26 mol H2O = 5.26*18 = 94.7g H2O

Answer: 94.7g H2O produced
There is no need to work out the number of oxygen molecules.

Without oxygen, none.