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Default Add from multiple criteria in a range

I have been struggling with this one, and believe that there must be a way of
doing this without adding 52 different formulas.

I have row A with 1 criteria, row B with the second. Columns C,D & E can
contain the criteria I am looking for in row A. Then Columns F onwards
contain quantity in the first column then Criteria B in the second column,
and so on.
I need to find the total of all matches of Criteria A in either C,D or E,
then Criteria B in column G onwards. Returning the value of the previous
colums , then added together.

A B C D E F G H I
J K L M N

FB ORML (FORMULA) FB 0 0 5 VGML 0 0 0 0
FB VGML FM FB 0 2 FPML 1 VGML 0
0
FB FPML LM 0 0 1 VGML 1 ORML 3
VLML
FB VLML CB FM FB 3 ORML 2 FPML 0
0
FB MOML FM 0 0 0 O 0 0
0 0

So I need the formula to find all matches of A in D,E & F, then find matches
of column b in the corresponding rows, when matches found add up the numbers
in the previous cell to the match.

I tried sumproduct, but was limited to single columns, thus would have to do
over 52 formulas for each line. I know there must be an easier way, but
cannot find it. Any help would save me pulling my hair out.

Hope this makes sense.


 
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