How do I identify the speaker setup for these ten in-home speakers?
I'd try a AA battery first to reduce the current going through the speaker, but it should still be audible.

You'll need a helper to stand by one of the speakers and listen for static or a clicking noise.

Just take one cable coming out of the wall, and short each combination of wires across the battery in turn until you hear a click or static at the speaker:


Black + Red
Black + White
Black + Green
White + Red
White + Green
Red + Green


The first one will be tricky until you know the color combinations to use -- you'll have to try all combinations on each wire from the wall until your helper hears it at the speaker. More than one helper makes it easier by listening to more than one speaker at a time.

Since one of your cables has white/black + red/green twisted, it's likely that these are the pairs.

It sounds like more than one speaker runs per cable so one speaker in the room might use white/black, the other speaker uses red/green.