How to Generate 5/59 lotto numbers in 1 cell

[testing lotto]

I am looking for a way to generate 5 random lottery numbers sorted in numerical order in one cell, not 5 cells. for example, 03-13-22-39-51 contained in cell A1. Not 03 in cell A1 and 13 in B1, 22 in C1, 39 in D1, 51 in E1. I think it should be possible to do this ?

 

[shg]

Ah.

There's one chance in 5,006,386 that you'll get all five balls.

If that happens, then one in 39 times you'll also get the powerball (5,006,386 * 39 = 1 in 194,249,054 of winning the jackpot)

The other 38 times you won't (5,006,386 * 39/38 = 1 in 5,138,133)

 

[testing lotto]

I like that =COMBIN function, never knew it was there

 

[testing lotto]

Thanks for all the help !

 

[CARBOB]

Thank you for this post and all the responses.

 

[kenny9002]

Hi Mirabeau,

I have been looking for a solution to an almost identical problem to that of 'testing lotto' when I came across the help you and Shg have provided (inlcuding your codes). I am interested and should be grateful for your help too.

I believe that your code for the 5/59 combination assumes that the 59 numbers are consecutive from 1 to 59. I have a similar problem. Mine is 6/30 (6 from 30 numbers). However, my 30 numbers are not consecutive from 1 to 30. They constitute different values between 1 and 50. BUT THEY ARE JUST 30 DIFFERENT NUMBERS. I have pasted the numbers below for your information:

9, 17, 44, 35, 11, 30, 12, 48, 38, 6, 20, 42, 24, 27, 32, 36, 15, 41, 45, 3, 2, 21, 39, 33, 14, 23, 46, 18, 28, 5

Please may I know how I can use your code to generate combinations of 6 numbers out of the above 30 values, and then match the combinations with the published lottery results.

Thanks for your anticipated help.

Kenny

 

[kenny9002]

Anyone help me, please.

Thanks.

Kenny

 

[kenny9002]

Could any of our expert forum members help, please.

Thanks.

Kenny

 

[FKoenig]

Is it always the same 30 numbers?

I'm not experienced enough with VBA to help you write the code, but if your set is always the same, can't you rank the values 1 to 30, have the code create a lotto number using the range of 6 numbers 1 to 30 and then swap 1 - 30 for the values you want?

For instance:
<TABLE style="WIDTH: 48pt; BORDER-COLLAPSE: collapse" cellSpacing=0 cellPadding=0 width=64 border=0><COLGROUP><COL style="WIDTH: 48pt" width=64><TBODY><TR style="HEIGHT: 15pt" height=20><TD id=td_post_2882233 style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; WIDTH: 48pt; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" width=64 height=20>1=2</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>2=3</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>3=5</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>4=6</TD></TR>
<TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>5=9</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>6=11</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>7=12</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>8=14</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>9=15</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>10=17</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>11=18</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>12=20</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>13=21</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>14=23</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>15=24</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>16=27</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>17=28</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>18=30</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>19=32</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>20=33</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>21=35</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>22=36</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>23=38</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>24=39</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>25=41</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>26=42</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>27=44</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>28=45</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>29=46</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-RIGHT: #ece9d8; BORDER-TOP: #ece9d8; BORDER-LEFT: #ece9d8; BORDER-BOTTOM: #ece9d8; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20>30=48</TD></TR></TBODY></TABLE>

 

[kenny9002]

Yes, it is always the same 30 numbers (given in my Post #45). I believe that it is possible to come up with a VB code to deal with the 30 non-consecutive numbers - if only one of our forum experts would be kind enough to help.

Meanwhile, it is not clear to me how your idea above could be incorporated into a code. Like you, I am not good with VBA at all. However, I am still hoping that someone will be able to help.

Thanks for your thoughtfulness.

Kenny

 

[CARBOB]

This macro will do what you want to do, if someone can alter it to run in Excel 07. It was written for Excel with 64,000 rows.



Option Explicit




' PGC Set 2007
' Calculates and writes the Combinations / Permutations with/without repetition
' Assumes the result is written from row 1 down. If the total number of cells in a column
' is less than tha number of results continues in another group of columns to the right.
' vElements - Array with the set elements (1 to n)
' p - number of elements in 1 combination/permutation
' bComb - True: Combinations, False: Permutations
' bRepet - True: with repetition, False: without repetition
' vResult - Array to hold 1 permutation/combination (1 to p)
' lRow - row number. the next combination/permutation is written in lRow+1
' vResultAll - Array to hold all the permutations/combinations (1 to Total, 1 to p)
' iElement - order of the element to process in case of combination
' iIndex - position of the next element in the combination/permutation

' Sub CombPerm() deals with the input / output
' Sub CombPermNP() generates the combinations / permutations

Sub CombPerm()
Dim rRng As Range, p As Integer
Dim vElements As Variant, vResult As Variant, vResultAll As Variant, lTotal As Long
Dim lRow As Long, bComb As Boolean, bRepet As Boolean
Dim vResultPart, iGroup As Integer, l As Long, lMax As Long, k As Long

' Get the inputs and clear the result range (you may adjust for other locations)
Set rRng = Range("B5", Range("B5").End(xlDown)) ' The set of numbers
p = Range("B1").Value ' How many are picked
bComb = Range("B2")
bRepet = Range("B3")
Range("D1", Cells(1, Columns.Count)).EntireColumn.Clear

' Error
If (Not bRepet) And (rRng.Count < p) Then
MsgBox "With no repetition the number of elements of the set must be bigger or equal to p"
Exit Sub
End If

' Set up the arrays for the set elements and the result
vElements = Application.Index(Application.Transpose(rRng), 1, 0)
With Application.WorksheetFunction
If bComb = True Then
lTotal = .Combin(rRng.Count + IIf(bRepet, p - 1, 0), p)
Else
If bRepet = False Then lTotal = .Permut(rRng.Count, p) Else lTotal = rRng.Count ^ p
End If
End With
ReDim vResult(1 To p)
ReDim vResultAll(1 To lTotal, 1 To p)

' Calculate the Combinations / Permutations
Call CombPermNP(vElements, p, bComb, bRepet, vResult, lRow, vResultAll, 1, 1)

' Write the Combinations / Permutations
' Since writing to the worksheet cell be cell is very slow, uses temporary arrays to write one column at a time
Application.ScreenUpdating = False
If lTotal <= Rows.Count Then
Range("D1").Resize(lTotal, p).Value = vResultAll
Else
While iGroup * Rows.Count < lTotal
lMax = lTotal - iGroup * Rows.Count
If lMax > Rows.Count Then lMax = Rows.Count
ReDim vResultPart(1 To lMax, 1 To p)
For l = 1 To lMax
For k = 1 To p
vResultPart(l, k) = vResultAll(l + iGroup * Rows.Count, k)
Next k
Next
Range("D1").Offset(0, iGroup * (p + 1)).Resize(lMax, p).Value = vResultPart
iGroup = iGroup + 1
Wend
End If
Application.ScreenUpdating = True
End Sub

Sub CombPermNP(ByVal vElements As Variant, ByVal p As Integer, ByVal bComb As Boolean, ByVal bRepet As Boolean, _
ByVal vResult As Variant, ByRef lRow As Long, ByRef vResultAll As Variant, ByVal iElement As Integer, ByVal iIndex As Integer)
Dim i As Integer, j As Integer, bSkip As Boolean

For i = IIf(bComb, iElement, 1) To UBound(vElements)
bSkip = False
' in case of permutation without repetition makes sure the element is not yet used
If (Not bComb) And Not bRepet Then
For j = 1 To p
If vElements(i) = vResult(j) And Not IsEmpty(vResult(j)) Then
bSkip = True
Exit For
End If
Next
End If

If Not bSkip Then
vResult(iIndex) = vElements(i)
If iIndex = p Then
lRow = lRow + 1
For j = 1 To p
vResultAll(lRow, j) = vResult(j)
Next j
Else
Call CombPermNP(vElements, p, bComb, bRepet, vResult, lRow, vResultAll, i + IIf(bComb And bRepet, 0, 1), iIndex + 1)
End If
End If
Next i
End Sub