Question: How many randomly ordered signals will it take to become chaotic?

How many randomly ordered signals are required until we achieve a chaotic signal, or one that is undistinguishable from being random? Another way to put it, although not a good example, is if we had an infinitely large room full of people talking, what is the minimum number of people needed to be to make the noise appear random? Of course making a few unrealistic conditions such as the volume of each persons speech is heard at the same level and pitch no matter their distance from the observation point. ... maybe a better way to describe it is to give each person a microphone and then how many people are required until the signal from the output speaker becomes random? I guess the original question is clear enough. How many randomly ordered signals will it take to become chaotic?
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