How to define a non continuous range in COUNTIF

As an alternative that would work for copying and pasting, you could do:

=COUNTIF($C$1:$C$15,"B") + COUNTIF(A16,"B")

Here's the formula for cell B16: =SUM(COUNTIF(INDIRECT({"C1:C15","A16"}),"B"))

For the record, if I understand well, you want to count the value from the cell A16. But if you do such a formula:

=COUNTIF(C1:C15,A16)

You know you will have the value (here B) in cell A16, don't you?

So the value you want to get is:

=COUNTIF(C1:C15,A16) + 1

What did I misunderstand?

You can also declare a named range of non-contiguous ranges, but you must use the INDIRECT function in declaring the range. Otherwise, it will fail just like a normal, non-contiguous range.

Declaring the range ("Range1") should have the "applies to" field read:

=INDIRECT({"A1:B2","C4:F17"})

Or use other named ranges:

=INDIRECT({"Table1[Column1]","Table2[Column3]","Table4[Column2]")

Then you can reference it like:

=COUNTIF(Range1,"=Yes")