Millisecond Forums

I am conducting a study in which participants need to be assigned to one of 8 conditions.  Within each of these conditions, I need to counterbalance the order of presentation of two items (with two levels each).  I am trying to determine the best way of accomplishing this.  As of now, I have created 32 experiments.

For example:

<expt Condition1>
/ preinstructions = (intropage)
/ groupassignment = random
/ subjects = (1 of 32)
/ blocks = [1=InfoTarget1; 2=Faceblock; 3=Fillerblock; 4=Presentation1CounterbalanceOrder1; 5=Presentation2CounterbalanceOrder1]
</expt>

I have two main questions:

1. If all I was looking to do was, indeed, to randomly assign participants to one of 32 conditions, would this (above) work?  And if so, is it correct that for a Web Script, I could select "subject ids should be generated via URL parameter" (participants will be randomly assigned to a subjectid in Qualtrics, and this will be included in the Inquisit Link) and "group id should be determined via Random Selection Without Replacement"?

2. Is there a better way to do the counterbalancing within conditions so that I do not need to create 32 distinct conditions (and could instead include 8 conditions with 2 order variables with 2 levels each counterbalanced within each condition)?

Thank you in advance for your help!

-Natalie