Need help combining 4 Excel formulas please

Note: this is a follow-up to this thread:
    Use a function as the criteria in the Excel =COUNTIF() function

Hello,

The screenshot (with details) shown below is from an Excel (2010) spreadsheet which is attached. The purpose of the spreadsheet is to:

    Display the Running Total of Col A dates which are in 2013 but are not Sundays.

The objective has already been achieved (I believe) in the attachment with the results shown here in Col G:

The data range includes Rows 2:100 and has the following columns:

    Col A_a random date between 2011-Jan-01 & 2013-Jun-05
    Col B_the day of the week
    Col C_spacer
    Col D_shows dates in 2013 ("`" if not)
    Col E_shows non-Sundays ("`" if not)
    Col F_shows when both Cols D & E are True ("`" if not)
    Col G_shows running total of "Boths" in Col F

    A2    =RANDBETWEEN(40544,41430)
    B2    =TEXT(A2,"ddd")
    C2       n/a
    D2    =IF(YEAR(A2)=2013,2013,"`")
    E2    =IF(B2<>"Sun","NotSun","`")
    F2    =IF(AND(D2=2013,E2="NotSun"),"Both","`")
    G2    =COUNTIF($F$2:$F2,"Both")

However, the question now is:

    Can the same endpoint be achieved in a single column?

I have always assumed that any number of formulas—each of which builds upon the previous—can be nested into a single formula. However, that may be a very naïve assumption and not true. If it is true though, I cannot figure out how to put the formulas together in this case.

Thanks
2013-06-05a-EE-function-for-crit.xlsx