You have 1.0 mol of HCL and you want to dilute it to .1 mol. How many mL out of 50 should it take up?

I hope your are distinguishing between mol and molarity. If you have 1.0 mol HCl (about 36.5 g) and you want only 0.1 mol that means you want only 3.65 g so you take 1/10 of the volume of the solution, whatever that volume is. You don't say in the problem. You really don't dilute 0.1 mol. You can dilute 0.1 molar but not 0.1 mol.0.1 mol is a quantity. 0.1M is a concentration.