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There is a wise essense which witholds lists when for a moment they lose
their cool... as when a prof gives uncritical approval for a
mathematical construction which applies exactly to some world that does not
exist (such as a year of exactly 365 or 366 days, and as many birthdays,
but which errs in the case of brute reality, where the year measures some
fraction more than 365 days, but birthdays number 366)
In any case, it is unbecoming for me to gloat, so I won't. :-)
Unfortunately, the probability of 366 people having the sameAhem; to put it more succinctly...
birthday is not exactly one.
That's what to account for....
It is possible to collect 366 people, no two or more of whom have
the same birth day number and month number.