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Is there an experimental design that tests three different factors?

I am planning on performing data collection on subjects to see how well certain wearable products perform. Let's call the products A, B, and C. The goal is to see if any of the products performs more accurately than the others.

A subject can wear two products at a time with no problem. It is possible to put a third product on the subject, but that third product's accuracy might be compromised by doing so.

Say I have 10 subjects. Obviously, I could run 30 trials, with each subject wearing AB, AC, then BC. However, I do not have the time to run that many trials. Is there an existing experimental design that exists for this situation? If you need more details, please let me know.