Excel -formula that excludes names if other colums have info

Hello,

I have a list of 50 names in Column F, I used the Coutif formula to tally the total names in colum Q:5.

ex. =COUNTIFS(F3:F1436,"=bill*")+COUNTIFS(F3:F1436,"=betty*").....and so on.....

I need help with not counting names if Columns E and Columns D have dates entered into them.

For example

Column D has 1 date of 6/1
Column E has 2 dates of 6/2
Column F has 5 names

Using the example above my numerical answer in Q:5 will be 2

I hope you can understand what I'm trying to ask. Making formulas in Excel is really not my strong suite. Thank you!