How many set could be formed.

M

motilulla

Well-known Member
Joined
Feb 13, 2008
Messages
2,422
Office Version
  1. 2010
Hello,

Using 4 digit 0,1,2,3 in the row how many set could be formed which sum could be = 14
Note: each single digit can be used 0-to14 times too.

Like this example

[TABLE="width: 400"]
<tbody>[TR]
[TD="class: xl24, width: 80, bgcolor: transparent"]0
[/TD]
[TD="class: xl24, width: 80, bgcolor: transparent"]1
[/TD]
[TD="class: xl24, width: 80, bgcolor: transparent"]2
[/TD]
[TD="class: xl24, width: 80, bgcolor: transparent"]3
[/TD]
[TD="class: xl24, width: 80, bgcolor: transparent"]Sum
[/TD]
[/TR]
[TR]
[TD="class: xl25, bgcolor: transparent"]14
[/TD]
[TD="class: xl25, bgcolor: transparent"]0
[/TD]
[TD="class: xl25, bgcolor: transparent"]0
[/TD]
[TD="class: xl25, bgcolor: transparent"]0
[/TD]
[TD="class: xl24, bgcolor: transparent"]14
[/TD]
[/TR]
[TR]
[TD="class: xl25, bgcolor: transparent"]0
[/TD]
[TD="class: xl25, bgcolor: transparent"]4
[/TD]
[TD="class: xl25, bgcolor: transparent"]7
[/TD]
[TD="class: xl25, bgcolor: transparent"]3
[/TD]
[TD="class: xl24, bgcolor: transparent"]14
[/TD]
[/TR]
[TR]
[TD="class: xl25, bgcolor: transparent"]1
[/TD]
[TD="class: xl25, bgcolor: transparent"]4
[/TD]
[TD="class: xl25, bgcolor: transparent"]5
[/TD]
[TD="class: xl25, bgcolor: transparent"]4
[/TD]
[TD="class: xl24, bgcolor: transparent"]14
[/TD]
[/TR]
[TR]
[TD="class: xl25, bgcolor: transparent"]1
[/TD]
[TD="class: xl25, bgcolor: transparent"]6
[/TD]
[TD="class: xl25, bgcolor: transparent"]5
[/TD]
[TD="class: xl25, bgcolor: transparent"]2
[/TD]
[TD="class: xl24, bgcolor: transparent"]14
[/TD]
[/TR]
[TR]
[TD="class: xl25, bgcolor: transparent"]2
[/TD]
[TD="class: xl25, bgcolor: transparent"]4
[/TD]
[TD="class: xl25, bgcolor: transparent"]7
[/TD]
[TD="class: xl25, bgcolor: transparent"]1
[/TD]
[TD="class: xl24, bgcolor: transparent"]14
[/TD]
[/TR]
[TR]
[TD="class: xl25, bgcolor: transparent"]1
[/TD]
[TD="class: xl25, bgcolor: transparent"]8
[/TD]
[TD="class: xl25, bgcolor: transparent"]2
[/TD]
[TD="class: xl25, bgcolor: transparent"]3
[/TD]
[TD="class: xl24, bgcolor: transparent"]14
[/TD]
[/TR]
[TR]
[TD="class: xl25, bgcolor: transparent"]1
[/TD]
[TD="class: xl25, bgcolor: transparent"]8
[/TD]
[TD="class: xl25, bgcolor: transparent"]4
[/TD]
[TD="class: xl25, bgcolor: transparent"]1
[/TD]
[TD="class: xl24, bgcolor: transparent"]14
[/TD]
[/TR]
[TR]
[TD="class: xl25, bgcolor: transparent"]1
[/TD]
[TD="class: xl25, bgcolor: transparent"]7
[/TD]
[TD="class: xl25, bgcolor: transparent"]6
[/TD]
[TD="class: xl25, bgcolor: transparent"]0
[/TD]
[TD="class: xl24, bgcolor: transparent"]14
[/TD]
[/TR]
[TR]
[TD="class: xl25, bgcolor: transparent"]3
[/TD]
[TD="class: xl25, bgcolor: transparent"]5
[/TD]
[TD="class: xl25, bgcolor: transparent"]5
[/TD]
[TD="class: xl25, bgcolor: transparent"]1
[/TD]
[TD="class: xl24, bgcolor: transparent"]14
[/TD]
[/TR]
[TR]
[TD="class: xl25, bgcolor: transparent"]2
[/TD]
[TD="class: xl25, bgcolor: transparent"]6
[/TD]
[TD="class: xl25, bgcolor: transparent"]5
[/TD]
[TD="class: xl25, bgcolor: transparent"]1
[/TD]
[TD="class: xl24, bgcolor: transparent"]14
[/TD]
[/TR]
[TR]
[TD="class: xl25, bgcolor: transparent"]1
[/TD]
[TD="class: xl25, bgcolor: transparent"]9
[/TD]
[TD="class: xl25, bgcolor: transparent"]3
[/TD]
[TD="class: xl25, bgcolor: transparent"]1
[/TD]
[TD="class: xl24, bgcolor: transparent"]14
[/TD]
[/TR]
[TR]
[TD="class: xl25, bgcolor: transparent"]3
[/TD]
[TD="class: xl25, bgcolor: transparent"]4
[/TD]
[TD="class: xl25, bgcolor: transparent"]6
[/TD]
[TD="class: xl25, bgcolor: transparent"]1
[/TD]
[TD="class: xl24, bgcolor: transparent"]14
[/TD]
[/TR]
[TR]
[TD="class: xl25, bgcolor: transparent"]2
[/TD]
[TD="class: xl25, bgcolor: transparent"]6
[/TD]
[TD="class: xl25, bgcolor: transparent"]4
[/TD]
[TD="class: xl25, bgcolor: transparent"]2
[/TD]
[TD="class: xl24, bgcolor: transparent"]14
[/TD]
[/TR]
[TR]
[TD="class: xl25, bgcolor: transparent"]0
[/TD]
[TD="class: xl25, bgcolor: transparent"]14
[/TD]
[TD="class: xl25, bgcolor: transparent"]0
[/TD]
[TD="class: xl25, bgcolor: transparent"]0
[/TD]
[TD="class: xl24, bgcolor: transparent"]14
[/TD]
[/TR]
[TR]
[TD="class: xl25, bgcolor: transparent"]0
[/TD]
[TD="class: xl25, bgcolor: transparent"]0
[/TD]
[TD="class: xl25, bgcolor: transparent"]14
[/TD]
[TD="class: xl25, bgcolor: transparent"]14
[/TD]
[TD="class: xl24, bgcolor: transparent"]14
[/TD]
[/TR]
[TR]
[TD="class: xl25, bgcolor: transparent"]0
[/TD]
[TD="class: xl25, bgcolor: transparent"]0
[/TD]
[TD="class: xl25, bgcolor: transparent"]0
[/TD]
[TD="class: xl25, bgcolor: transparent"]14
[/TD]
[TD="class: xl24, bgcolor: transparent"]14
[/TD]
[/TR]
</tbody>[/TABLE]


Thank you all
Excel 2000
Regards,
Moti
 
Last edited:

Excel Facts

Repeat Last Command
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Sort by date Sort by votes
I suspect that's the 15th Tetrehedral number which would be 680. You can generate all possible sets like this:

Code: 
Public Sub GenerateSets()

Const targetValue = 14

Dim nextRow As Long

Dim a As Long
Dim b As Long
Dim c As Long
Dim d As Long

nextRow = 1
For a = 0 To targetValue
    For b = 0 To targetValue - a
        For c = 0 To targetValue - a - b
            d = targetValue - a - b - c
            nextRow = nextRow + 1
            Cells(nextRow, 1) = a
            Cells(nextRow, 2) = b
            Cells(nextRow, 3) = c
            Cells(nextRow, 4) = d
        Next c
    Next b
Next a

End Sub

WBD
 
Upvote 0
wideboydixon said:
I suspect that's the 15th Tetrehedral number which would be 680. You can generate all possible sets like this:

Code: 
Public Sub GenerateSets()

Const targetValue = 14

Dim nextRow As Long

Dim a As Long
Dim b As Long
Dim c As Long
Dim d As Long

nextRow = 1
For a = 0 To targetValue
    For b = 0 To targetValue - a
        For c = 0 To targetValue - a - b
            d = targetValue - a - b - c
            nextRow = nextRow + 1
            Cells(nextRow, 1) = a
            Cells(nextRow, 2) = b
            Cells(nextRow, 3) = c
            Cells(nextRow, 4) = d
        Next c
    Next b
Next a

End Sub

WBD
Click to expand...
Wow! wideboydixon,

This is perfect - thank you very much!

Regards,
Moti :)

 
Upvote 0
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