As an example... lets say you have both a resident permit and a non resident permit.
In my case I have a resident PA and a non-resident NH permit. Lets say I was in NH and was stopped for whatever reason, and I was required to produce my CCL. NH honors a PA permit and I could produce that and be legal, but I also have a non-resident NH permit.
Which of the two (which are both valid) would you produce and why?