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Default Conditional Counting of Duplicated Names

I have names in A1:A10 like this:
Ted, Ted, Ted, Mark, David, David, Bonnie, Bonnie, Bonnie, Fred

I have their department assignments in B1:B10 like this:
EE,EE,EE,ME,CE,CE,ME,ME,ME,EE

I am using the following array formula to count the total number of
employees:
{=SUM(IF(FREQUENCY(MATCH(A1:A10,A1:A10,0),MATCH(A1 :A10,A1:A10,0))0,1))}

This yields a total of 5 employees.

But I'd like to modify the formula to count the number of employees by
department. In other words, I'd like the formula to return that I have 2
employees in ME, 2 in EE and 1 in CE.

Thanks in advance for the help.
 
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