Count Unique Entries

Using the enclosed file as a referece what formula can I use to count the unique entries based on "TWO" arrays (Column A + B). D1, counts only unique entries for one array - Column B. Since the total unique entries is 8 for Column B, how many unique entries are for "open", "closed', "new"? Column F has the correct manual answers for unique entry based on Column A & B. What formula can I use to count two unique array entries? Thx.

One way is to use this formula in F1

=COUNT(1/(FREQUENCY(IF($A$1:$A$15=E1,IF(LEN($B$1:$B$15)>0, MATCH($B$1:$B$15,$B$1:$B$15,0),"")),ROW($B$1:$B$15)-ROW($B$1)+1)))

confirmed with CTRL+SHIFT+ENTER and copied down

It works great. Thank you