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Mike
 
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Default Counting Unique text entries in a sheet with a condition

I have a list of names with mutiple entries for most of them
I need to count the unique names but that only meet another criteria

eg
A B
Uk Mike
DE Fred
Uk Mike
Ch Ted
Uk Rose

What I need is a formulae that will let me specify if colulm A is UK count
the unique names in colum B - the answer should be 2 (Mike & Rose are in UK)

Thanks