Have a look at this example. You will find this in help of qlikview.
Returns the number of working days (Monday-Friday) between and including start_date and end_date taking into account any optionally listed holidays. All parameters should be valid dates or timestamps.
networkdays ('2007-02-19', '2007-03-01') returns 9
networkdays ('2006-12-18', '2006-12-31', '2006-12-25', '2006-12-26') returns 8
Using this you will get the no. of working days..
To get non working days you can do this ( count the total days - working days.)