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Default COUNTIF not including something in both columns

Hello,

I have a list of names in two columns - column B lists the Assistants and
column C lists the Managers. I need to count the number of times the name
"adam" does not appear in column b and column c in the same row - in other
words where adam was neither an assistant or a manager.

I thought this formula would work but it doesn't:
=COUNTIF(B3:B9,"<*adam*")+COUNTIF(C3:C9,"<*adam* ")

In this example below, the answer should be "3". Only 3 times does the name
"adam" not appear in column 1 and 2 in the same row - i.e., in the 2nd, 4th
and 5th row.

column 1 column 2
adam john
john jeff
greg adam
greg jeff
jeff edward

Please help with a formula.

Thank you




 
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