Determine if a date falls between two dates if duplicate names

[tkc123]

From the list below:
Start Date,End Date,Names
12/10,15/10,Kevin
14/10,16/10,Jason
14/10,20/10,Kevin

I manage to highlight the name if the occurrence is more than once.
=COUNTIFS($A$2:$A2,$A2,$CF$2:$C2,$C2)>1

I need to create a conditional formatting to highlight second occurrence of Kevin's name if the new Start Date entered falls between two existing dates for the first occurrence.

Could someone please help with the formula?

 

[steve the fish]

Try this:

=COUNTIFS($C$1:C1,C2,$A$1:A1,"<="&A2,$B$1:B1,">="&A2)>0

 

[tkc123]

Try this:

=COUNTIFS($C$1:C1,C2,$A$1:A1,"<="&A2,$B$1:B1,">="&A2)>0

Thanks a lot, this works splendid!
Even if I omit the first End Date, Excel will still consider the second occurrence as duplicates and highlight it!