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Strange Problem

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Hi all,
 
    I´ve got a strange problem, hope you could help. I´ve got a table (a ) with n tuples, and two fields , birthplace and birth date. There´s another table ( say b) with m tuples, where i´ve got a lot of polygons ( with their code, same as bithplace). Now i want to make a join, to obtain how many people corresponds to each place-polygon. I write
 
create table personsbyplace as select a.birthplacecode as code,count(*) as peoplecount from a,b where
a.birthplacecode=b.polygoncode group by birthplacecode
 
Well, what i can´t understand is why "Select sum(count) from personsbyplace" is > than "a" row number! (n)
 
In "b" i´ve got all places and "a" table is a list of people, with their place and birth date. It can´t be greater sum(count) than number of persons! Where is the mistake?
    Thanks in advance,
 
Gus


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