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Selecting COUNT(*) with DISTINCT

In SQL Server 2005 I have a table cm_production that lists all the code that's been put into production. The table has a ticket_number, program_type, program_name and push_number along with some other columns.

GOAL: Count all the DISTINCT program names by program type and push number.

What I have so far is:

DECLARE @push_number INT;
SET @push_number = [HERE_ADD_NUMBER];

SELECT DISTINCT COUNT(*) AS Count, program_type AS [Type] 
FROM cm_production 
WHERE push_number=@push_number 
GROUP BY program_type

This gets me partway there, but it's counting all the program names, not the distinct ones (which I don't expect it to do in that query). I guess I just can't wrap my head around how to tell it to count only the distinct program names without selecting them. Or something.

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    distinct has to go inside the ( ) of the count, thanks
    – Kyle Burkett
    Commented Dec 2, 2022 at 17:26