Advantage of taking out the sleeping one first? We MAY be able to kill it before it can set off an alarm. Disadvantage: May be noisy enough to attract the awake one anyway. Advantage to going after the awake one first? We MAY be able to knock it out quietly enough that the sleeping one doesn't wake up...

Honestly, we're probably going to have to deal with them both anyway. I'll volunteer to go kill the sleeping one and catch up with the rest of you after it's done.