Let’s define each date as the set of ordered pairs (popa,date). Each x,y can be judged by any value you choose. So the cardinality of the set of all dates is |{(popa1,date1),(popa2,date2),…,(popan,daten)}|. That’s the number of dates Popa has been on. So Emperor Popa, listen to your wise Grand Vizier, who correctly determined the number of dates.
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