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Default Concatenate results of scores and return sum of percentages

I have 3 columns. Rows 2 to 20 can have either "1", "0", or
"" (blank).

ColT ColU ColV
15% 20% 65%
1 1 1
1 1 1
1 1
1 0 1
1 1 1
1 1 1

I need a result in ColW based on the 27 permutations available:
15% 20% 65%
1 1 1 = 100 (15+20+65)
1 1 0 = 35 (15+20 'cos C3 is 0)
1 1 = 100 ((15+20)/(15+20), C4 is not applicable)
1 0 1 = 80 (15+65 'cos B5 is 0)
1 0 0 = 15
1 0 = 43 (15/(15+20) , C7 not applicable)
1 1 = 100
1 0 = 19 (15/(15+65))
1 = 100 (15/15)
0 1 1 = 85
0 1 0 = 20
0 1 = 57
0 0 1 = 65
0 0 0 = 0
0 0 = 0
0 1 = 81 (65/(15+65))
0 0 = 0
0 = 0
1 1 = 100
1 0 = 24
1 = 100
0 1 = 76
0 0 = 0
0 = 0
1 = 100
0 = 0
(this row is 3 blank cells and will return "" with =if
(a2="","",if(....your formula...) where colA contains names.


I've been trying:

=IF(COUNTIF(T13:V13,0)=0,1,IF(VALUE(T13&U13)=11,0. 35,IF(VALUE(T13&V13)
=11,0.8,IF(VALUE(U13&V13)=11,0.85,"do I have to keep adding nested IF
statements!!??"))))

but there MUST be a more elegant solution and doesn't involve nested
IF's.

I have the same situation in another set of columns but with only two
col's I was able to use

=IF(B11="","",IF(M11&N11="11",1,IF(M11&N11="10",M$ 10,IF(M11&N11="1",
1,IF(M11&N11="01",N$10,IF(M11&N11="00",0,IF(M11&N1 1="",1,0)))))))

which is really unwieldy for 3 columns.

Any suggestions? If the formula could reference the percentages in row
1, then the results would reflect any changes we made to those
figures...

Phil


 
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