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Default Creating Range Arguments for use in function statements

Can any of you Excel gurus tell me how to create a
reference range from cell values that can be used as
Function statement arguments? Take for example, the
following Excel function: SUMIF(A5:A10,"=Z",B5:B10)

This function sums all the numbers in the range from B5
to B10 where the corresponding rows of the adjacent
column A contains the text value "Z".

I could define (name) the ranges A5:A10 and B5:B10 as
rng1 and rng2, respectively. This would allow the above
SUMIF function to look like: SUMIF(rng1,"=Z",rng2), but
this is not what I'm looking for.

If I hve 8 separate cell values for the row and column
numbers of the start and end of each of these two ranges
(5, 1, 10, 1 and 5, 2, 10, 2), is there any way I can use
those values along with any appropriate Excel functions
to create cell ranges that can be used for the range
arguments inside the SUMIF statement? From what I can
determine, range arguments cannot be text values. So, for
example, I couldn't use the ADDRESS function.

It seems to me that I did this a number of years ago
using R-C formatted range references, but I can't
remember exactly how I did this. Any help you can give me
would be greatly appreciated.

 
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