highlight duplicate name based on birthdate

Hi. I have a list of names in one column and associated birthdates in another column. I would like to highlight duplicated names only when the birthdate for that name is also duplicated. Is this able to be achieved using a formula in conditional formatting? Thanks

Using in C2:

=COUNTIFS($A$2:$A$8,A2,$B$2:$B$8,B2)>1

or put it in Conditional formatting of cell A2