If you use the Air Date/Time Picker plugin, you can enable Multiple Dates and also Date Range.
A simple text element can then use the value of a selected range in this picker: “Air Date/Time Picker’s value list:extract day:filtered:count”
See below. Basically, the text expression is saying “list out all the dates in the range, extract the day of the week for each, filter out any 6s and 0s (Sat & Sun), and count the remaining numbers (days)”
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