Include a "does not contain" with a COUNTM

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I want to COUNTM on a multi-select column but I do not want to include the Speaker Name of NO EXTERNAL FACULTY. So if that's the only selection in a row it should return a '0' and if it's in a row with a Joe Bloggs and Jane Doe, it returns a '2'.

Can you combine a COUNTM with a NOT CONTAINS or similar?

=COUNTM([SPEAKER NAME]@row, NOT(HAS("NO EXTERNAL FACULTY", @cell))) and =COUNTM([SPEAKER NAME]@row, NOT(HAS(@cell, "NO EXTERNAL FACULTY"))) give me a '2' when only NO EXTERNAL FACULTY is the only selection.

I get the same answer for NOT CONTAINS too so I'm stumped!

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