Sum of all number combinations excluding repetition Excel

Question

this top voted answer Sum all combinations Excel or Google Spreadsheets is close to what I need - however I require a solution where it keeps the combinations in order and exclu

Answer 1

Here's a formula to display the sums in order

=ArrayFormula(sort(" "&transpose(split(SUBSTITUTE(substitute(textjoin("+",true,{if(mod(int(row(A1:A15)/(2^(column(A1:D1)-1))),2)=0,"",column(A1:D1)),B1:B15&";"}),"+;",";"),";+",";"),";")),1,true))

This formula will give the sum totals in the order that they are generated, but then it would have to be combined with the first formula to get them in the right order

=ArrayFormula(mmult(if(mod(int(row(A1:A15)/(2^(column(A1:D1)-1))),2)=0,0,column(A1:D1)),transpose(column(A1:D1))^0))

Giving this

=ArrayFormula(sort({" "&transpose(split(SUBSTITUTE(substitute(textjoin("+",true,{if(mod(int(row(A1:A15)/(2^(column(A1:D1)-1))),2)=0,"",column(A1:D1)),B1:B15&";"}),"+;",";"),";+",";"),";")),ArrayFormula(mmult(if(mod(int(row(A1:A15)/(2^(column(A1:D1)-1))),2)=0,0,column(A1:D1)),transpose(column(A1:D1))^0))},1,true))

Here's how it would look if you used actual values rather than column numbers

=ArrayFormula(sort({" "&transpose(split(SUBSTITUTE(substitute(textjoin("+",true,{if(mod(int(row(A1:A15)/(2^(column(A1:D1)-1))),2)=0,"",column(A1:D1)),if(row(A1:A15)>0,";")}),"+;",";"),";+",";"),";")),ArrayFormula(mmult(if(mod(int(row(A1:A15)/(2^(column(A1:D1)-1))),2)=0,0,A1:D1),transpose(column(A1:D1))^0))},1,true))