Multi select elements which sums upto a certain number from an array

Give an array and a certain number,how to select some of the elements to sums upto the number?

The following codes can bring you one or more solutions out:

3. Sub Solve(ByVal Total As Double, ByRef Data, Optional ByVal firstsolution As Boolean = True) 'Get the first( or all if the 3rd param is false) combintaions which has a sum as Total
4.     Dim Fit As Boolean, Count As Long, Result() As String, Used() As Byte, n As Long, Temp As Double 'Defines
5.     n = UBound(Data) 'Count of numbers-1
6.     ReDim Used(n)
7.     Do
8.         Fit = False 'Initialize
10.         Do
11.             For i = 0 To n
12.                 Used(i) = 1 - Used(i) 'Used or Not used.
13.                 If Used(i) = 1 Then Exit For
14.             Next
15.             If i > n Then Exit Do ' Nothing was found
16.             Temp = 0
17.             For i = 0 To n
18.             If Used(i) = 1 Then Temp = Temp + Data(i) 'Get the sum of used data
19.             Next
20.             If Abs(Temp - Total) < 0.01 Then 'be same
21.                 Fit = True 'A solution has been found.
22.                 Exit Do 'Quit a while.
23.             End If
24.         Loop
25.         If Fit Then 'Return the solution found just now.
26.             Count = Count + 1 'Solution count
27.             ReDim Preserve Result(1 To Count) 'Return the solution as an array.
28.             For i = 0 To n
29.                 If Used(i) = 1 Then Result(Count) = Result(Count) & "+" & Data(i) 'The expression of the solution.
30.             Next
31.             Result(Count) = "Solution" & Count & ":  " & Total & "=" & Mid(Result(Count), 2) 'message of solution
32.             Debug.Print Result(Count) 'Output to immediate window.
33.             If firstsolution = True Then MsgBox "1 solution has been found!!!": Exit Sub 'Need the first solution only.
34.         End If
35.     Loop While Fit
36.  MsgBox IIf(Count > 1, Count & " solutions have ", IIf(Count = 0, "No ", 1) & " solution has ") & " been found!!!" 'Three options of the result: 0,1 or many
37. End Sub
40. Sub Getit() 'Find combinations of an array which sums up to 1839.1
41.     Solve 1839.31, Array(466.89, 480.49, 281.06, 13.61, 70.59, 174.86, 313.82, 374.66, 281.5, 48.95, 262.86, 300.33, 248.56, 184.4, 442.91, 378.47, 196.49, 150.7, 162.87, 307.73, 64.97, 132.79, 480.06, 361.54, 240.13)
42. End Sub

It returns:

Solution1:  1839.31=13.61+70.59+174.86+313.82+248.56+442.91+378.47+196.49

If we change the codes as the following:

1. Sub Getit() 'Find combinations of an array which sums up to 1839.1 
2.     Solve 1839.31, Array(466.89, 480.49, 281.06, 13.61, 70.59, 174.86, 313.82, 374.66, 281.5, 48.95, 262.86, 300.33, 248.56, 184.4, 442.91, 378.47, 196.49, 150.7, 162.87, 307.73, 64.97, 132.79, 480.06, 361.54, 240.13),False
3. End Sub

We'll get 29 solutions as the following:

Solution1:    1839.31=13.61+70.59+174.86+313.82+248.56+442.91+378.47+196.49
Solution2:    1839.31=466.89+281.06+13.61+70.59+281.5+378.47+196.49+150.7
Solution3:    1839.31=480.49+13.61+70.59+174.86+262.86+378.47+150.7+307.73
Solution4:    1839.31=281.06+13.61+70.59+174.86+313.82+281.5+48.95+196.49+150.7+307.73
Solution5:    1839.31=466.89+480.49+48.95+184.4+442.91+150.7+64.97
Solution6:    1839.31=480.49+13.61+174.86+313.82+281.5+196.49+150.7+162.87+64.97
Solution7:    1839.31=13.61+374.66+300.33+184.4+442.91+150.7+307.73+64.97
Solution8:    1839.31=13.61+313.82+48.95+300.33+248.56+378.47+162.87+307.73+64.97
Solution9:    1839.31=480.49+70.59+281.5+48.95+262.86+248.56+150.7+162.87+132.79
Solution10:  1839.31=281.06+13.61+70.59+281.5+300.33+184.4+196.49+150.7+162.87+64.97+132.79
Solution11:  1839.31=281.06+262.86+248.56+378.47+162.87+307.73+64.97+132.79
Solution12:  1839.31=466.89+70.59+174.86+48.95+262.86+184.4+150.7+480.06
Solution13:  1839.31=281.06+13.61+70.59+281.5+300.33+196.49+150.7+64.97+480.06
Solution14:  1839.31=281.06+13.61+174.86+262.86+300.33+248.56+196.49+361.54
Solution15:  1839.31=281.06+13.61+174.86+313.82+248.56+184.4+196.49+64.97+361.54
Solution16:  1839.31=70.59+174.86+281.5+48.95+378.47+150.7+307.73+64.97+361.54
Solution17:  1839.31=13.61+70.59+442.91+162.87+307.73+480.06+361.54
Solution18:  1839.31=70.59+48.95+300.33+248.56+196.49+132.79+480.06+361.54
Solution19:  1839.31=466.89+281.06+70.59+174.86+442.91+162.87+240.13
Solution20:  1839.31=374.66+281.5+248.56+184.4+196.49+150.7+162.87+240.13
Solution21:  1839.31=281.06+13.61+174.86+374.66+262.86+184.4+307.73+240.13
Solution22:  1839.31=466.89+70.59+174.86+48.95+262.86+196.49+150.7+162.87+64.97+240.13
Solution23:  1839.31=281.06+374.66+281.5+378.47+150.7+132.79+240.13
Solution24:  1839.31=70.59+374.66+48.95+184.4+307.73+132.79+480.06+240.13
Solution25:  1839.31=281.06+13.61+174.86+48.95+248.56+162.87+307.73+361.54+240.13
Solution26:  1839.31=480.49+13.61+70.59+174.86+300.33+64.97+132.79+361.54+240.13
Solution27:  1839.31=13.61+281.5+48.95+262.86+248.56+184.4+64.97+132.79+361.54+240.13
Solution28:  1839.31=313.82+262.86+300.33+162.87+64.97+132.79+361.54+240.13
Solution29:  1839.31=281.06+70.59+374.66+150.7+162.87+64.97+132.79+361.54+240.13