" When you say that people are "assigned numbers," it's understood that each number is unique unless you specify otherwise. I had the students line up and count off by tens. They were then instructed to remember their number and use it in the day's activities.
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MrPernicketyMy idea is "each person got his/her sequential number", although I'm dubious about that.Those don't ring true. "Assigned number" or "Group number" is all I can think of. There really isn't any special word for it.