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Table Formula - Count the number of Saturdays between 2 dates



My table has 12 records - 1 record for every month of the year. Each record has two date fields, the starting date of the month and the last day of the month. 

I am trying to create a formula field in this table that will count the number of Saturdays between the two date fields. Essentially, I need to know the number of Saturdays in the month. I also need to do this with Sundays in a separate formula field. 

As you may know, some months do not have an equal amount of Saturdays and Sundays. Sometimes, like the current month today (04/2022), there are 5 Saturdays and 4 Sundays. So, I couldn't just grab the number of weeks in the month and assume there is 1 Saturday for each one. 

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