Using SQL to get counts of counts

Expert Rudy Limeback explains how to use SQL to get counts of counts in an Orders table.

I have an Orders table with persons and toys. Sample values are:

person   toy
1        puzzle
1        puzzle
1        doll
1        game
2        puzzle
2        doll
3        doll
3        game
3        game
4        doll
4        game
5        doll
5        doll

Persons may have several toys with the same or different names. I'm only interested in persons with games or puzzles. The query results I want from the above table are:

toycount   personcount
    3          1
    2          1
    1          2

In English I'd say: Show me a descending count of the number of toys ordered (puzzles and games only) and the number of people who ordered that many. It seems like this should be easy, but I'm just not getting it! Thanks for any help.

The trick here is to do two levels of aggregation. The first level is to count how many of the specified toys (puzzles and games only) were ordered by each person. This gives the "toycount" number for each person. The second level of aggregation is to count how many persons ordered each toycount. Fortunately, it is easy to nest these two levels of aggregation.

select toycount
     , count(*) as personcount
  from (
       select person
            , count(*) as toycount
         from orders
        where toy in ('puzzle','game')
           by person
       ) as person_toycounts
    by toycount
    by toycount desc

Simple, yes?

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