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Default Counting depending on another column

I am trying to count the number fo weekdays (Sun-Thu) and weekends (Fri-Sat).
I have two columns. A -- Date, B -- Day of Week (DOW). They are not linked
in any way.

Countif would work easily if the sheet was setup normally. However, the DOW
is static (Sun-Sat 5 times + Sun, Mon, Tue to cover every possible monthly
combination) and the Dates move depending on the month and when it starts. So
there are always DOWs that are blank in column A.

So how do I count the true number of weekdays and weekends? Feels like it
should be something like IF column A has values, THEN countif column B is
Fri/Sat or something like that.


Thanks for all your help in advance.
 
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