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Harlan Grove
 
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"Bernie Deitrick" <deitbe @ consumer dot org wrote...
Array enter (enter using Ctrl-Shift-Enter)

=SUM(IF(1/COUNTIF(rngPlaces,rngPlaces)<1,1/COUNTIF(rngPlaces,rngPlaces),0))

....

You didn't test this with the OP's specs in mind. If the OP's range contains
blanks (and since the OP explicitly mentions this case, whatcha suppose the
odds are that there will be some blank cells?), your formula returns #DIV/0!