Generate all binary combinations with constant sums of rows and columns

B

bekirsahin

New Member
Joined
Feb 28, 2018
Messages
5
I have a problem regarding to excel binary combinations. As you see there is a matrix (Matrix 1) with the values of 1 and 0. --- represents N/A or 0. I want to get all different combinations without changing the sums.

Matrix 1:
[TABLE="class: grid, width: 500, align: center"]
<tbody>[TR]
[TD="align: center"][/TD]
[TD="align: center"][/TD]
[TD="align: center"][/TD]
[TD="align: center"][/TD]
[TD="align: center"][/TD]
[TD="align: center"][/TD]
[TD="align: center"]Sum[/TD]
[/TR]
[TR]
[TD="align: center"][/TD]
[TD="align: center"]---[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]2[/TD]
[/TR]
[TR]
[TD="align: center"][/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]4[/TD]
[/TR]
[TR]
[TD="align: center"][/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]---[/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]2[/TD]
[/TR]
[TR]
[TD="align: center"][/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]---[/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]---[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]2[/TD]
[/TR]
[TR]
[TD="align: center"][/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]---[/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]---[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]2[/TD]
[/TR]
[TR]
[TD="align: center"][/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]---[/TD]
[TD="align: center"]3[/TD]
[/TR]
[TR]
[TD="align: center"][/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]---[/TD]
[TD="align: center"]3[/TD]
[/TR]
[TR]
[TD="align: center"][/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]---[/TD]
[TD="align: center"]2[/TD]
[/TR]
[TR]
[TD="align: center"][/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]---[/TD]
[TD="align: center"]4[/TD]
[/TR]
[TR]
[TD="align: center"]Sum[/TD]
[TD="align: center"]7[/TD]
[TD="align: center"]6[/TD]
[TD="align: center"]6[/TD]
[TD="align: center"]3[/TD]
[TD="align: center"]2[/TD]
[TD="align: center"]24[/TD]
[/TR]
</tbody>[/TABLE]


For example, below is a different combination of the Matrix 1. Red ones are the only changed numbers and the sums never changed.

[TABLE="class: grid, width: 500, align: center"]
<tbody>[TR]
[TD="align: center"][/TD]
[TD="align: center"][/TD]
[TD="align: center"][/TD]
[TD="align: center"][/TD]
[TD="align: center"][/TD]
[TD="align: center"][/TD]
[TD="align: center"]Sum[/TD]
[/TR]
[TR]
[TD="align: center"][/TD]
[TD="align: center"]---[/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]2[/TD]
[/TR]
[TR]
[TD="align: center"][/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]4[/TD]
[/TR]
[TR]
[TD="align: center"][/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]---[/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]2[/TD]
[/TR]
[TR]
[TD="align: center"][/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]---[/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]---[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]2[/TD]
[/TR]
[TR]
[TD="align: center"][/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]---[/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]---[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]2[/TD]
[/TR]
[TR]
[TD="align: center"][/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]---[/TD]
[TD="align: center"]3[/TD]
[/TR]
[TR]
[TD="align: center"][/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]---[/TD]
[TD="align: center"]3[/TD]
[/TR]
[TR]
[TD="align: center"][/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]0[/TD]
[TD="align: center"]---[/TD]
[TD="align: center"]2[/TD]
[/TR]
[TR]
[TD="align: center"][/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]---[/TD]
[TD="align: center"]4[/TD]
[/TR]
[TR]
[TD="align: center"]Sum[/TD]
[TD="align: center"]7[/TD]
[TD="align: center"]6[/TD]
[TD="align: center"]6[/TD]
[TD="align: center"]3[/TD]
[TD="align: center"]2[/TD]
[TD="align: center"]24[/TD]
[/TR]
</tbody>[/TABLE]



I appreciate your effort.

Thank you very much
Sincerely
 

Excel Facts

What does custom number format of ;;; mean?
Three semi-colons will hide the value in the cell. Although most people use white font instead.
You must log in or register to reply here.

Similar threads

R
  • Solved
Ignore blanks for a SUM
Replies
2
Views
121
Rex987456
R
T
  • Solved
Integer programming with binary variables in Solver - issue with constraint?
Replies
3
Views
378
StephenCrump
S
B
  • Solved
Need code that converts colors from the RGB code to the Natural Color System (NCS)
Replies
6
Views
301
PeteWright
PeteWright
E
  • Question Question
Formula that has sum and exception
Replies
4
Views
306
Cubist
Cubist
GMC The Macro Man
  • Solved
SUM COUNTIFS with AND + OR
Replies
3
Views
191
Fluff
Fluff

Forum statistics

Threads
1,224,820
Messages
6,181,161
Members
453,021
Latest member
Justyna P

Share this page

We've detected that you are using an adblocker.

We have a great community of people providing Excel help here, but the hosting costs are enormous. You can help keep this site running by allowing ads on MrExcel.com.
Allow Ads at MrExcel

Which adblocker are you using?

Disable AdBlock

Follow these easy steps to disable AdBlock

1)Click on the icon in the browser’s toolbar.
2)Click on the icon in the browser’s toolbar.
2)Click on the "Pause on this site" option.
Go back

Disable AdBlock Plus

Follow these easy steps to disable AdBlock Plus

1)Click on the icon in the browser’s toolbar.
2)Click on the toggle to disable it for "mrexcel.com".
Go back

Disable uBlock Origin

Follow these easy steps to disable uBlock Origin

1)Click on the icon in the browser’s toolbar.
2)Click on the "Power" button.
3)Click on the "Refresh" button.
Go back

Disable uBlock

Follow these easy steps to disable uBlock

1)Click on the icon in the browser’s toolbar.
2)Click on the "Power" button.
3)Click on the "Refresh" button.
Go back
Back
Top