Excel - How to count number of rows in range (i.e. various columns) that contain certain string?

Question

I have a list A of strings and I want to see if and if yes in how many rows each string is represented in range B. My data looks something like this:

List A:

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Answer 1

As much as I like to avoid encouraging the use of the volatile OFFSET¹ function, it seems the most likely candidate in this situation.

        

The array formula in F2 is,

=SUM(SIGN(COUNTIF(OFFSET(A$2, ROW($1:$99)-1, 0, 1, 3), E2)))

Array formulas need to be finalized with Ctrl+Shift+Enter↵. Once entered into the first cell correctly, they can be filled or copied down or right just like any other formula.

¹_{OFFSET is considered a volatile function that recalculates whenever anything in the workbook changes.}