What is the formula to calculate the number of combination?

Can someone please help me with that one? It would be much appreciated.Thanks in advance

Example Item 2
Types of fruits Apples,Oranges (User input)
The A supplier can provide two kinds of fruits Apples and Oranges
The C supplier can provide two kinds of fruits Apples and Oranges
The D supplier can provide two kinds of fruits Apples and Oranges
So Total 3 Number combination

Please try at H2
=IF(COUNTA(E2:G2),SUMPRODUCT(--(MMULT(COUNTIFS($B$2:$B$12,E2:G2,$A$2:$A$12,REPT($A$2:$A$12,MATCH($A$2:$A$12,$A$2:$A$12,)=ROW($A$2:$A$12)-ROW($A$1))),{1;1;1})=COUNTA(E2:G2))),"")