Require change to limit exact sum output combinations

Kishan

Well-known Member
Joined
Mar 15, 2011
Messages
1,648
Office Version
  1. 2010
Platform
  1. Windows
Using Excel2000

Hi,

Till now I was using "pgc01 code" which is amazing, I found code under this link
https://www.mrexcel.com/forum/excel-questions/277924-combination-help-5.html#post1424848

I require modifications code only output Permutation Repetition with a desire sums

For example...
In the cells B6:B10 there are numbers 0,1,2,3,4,5 I need all Permutation Repetition could be find with SUM = 43. Is it possible?
Layout is not important could be the any way depending on the new or modified code

Data example....


Book1
ABCDEFGHIJKLMNOPQRS
1P14*3333334242444143
2CombinationsFALSE*2243232334533443
3RepetitionTRUE*5214323234432543
4***5353254411134243
5Set Col B5 Down0*4245432333134243
6*1*2422354343431343
7*2*3142343355144143
8*3*3222541534323443
9*4*2353454144112443
10*5*5314344442311443
11**3351224431533443
12**5045353213512443
13**2335142322543443
14**2334452232233543
15**1313514345334343
164242442333334243
171413455233432343
18
19
Sheet1


Thank you in advance


Regards,
Kishan
 
Last edited:
My formula

=PERMUT(14,14)/PRODUCT(PERMUT({3,1,3,6,1}, {3,1,3,6,1}))

or

=FACT(14)/PRODUCT(FACT({3,1,3,6,1}))
 
Last edited:
Upvote 0

Excel Facts

Lock one reference in a formula
Need 1 part of a formula to always point to the same range? use $ signs: $V$2:$Z$99 will always point to V2:Z99, even after copying
=product(combin(14-{0,3,4,7,13}, {3,1,3,6,1}))
Hi shg, too many combinations did not imagine</SPAN></SPAN>

Thank you for your help and time</SPAN></SPAN>

Kind Regards,</SPAN></SPAN>
Kishan </SPAN></SPAN>
 
Upvote 0
My formula

=PERMUT(14,14)/PRODUCT(PERMUT({3,1,3,6,1}, {3,1,3,6,1}))

or

=FACT(14)/PRODUCT(FACT({3,1,3,6,1}))
Hi B___P, "FACT" formulas is neat, I am surprised to see that row 17 post#7 could be written in the 3.363.360 ways. But it is true as formula result amazing.</SPAN></SPAN>

Thank you for your help and time </SPAN></SPAN>

Kind Regards,</SPAN></SPAN>
Kishan</SPAN></SPAN> :)
 
Upvote 0
=FACT(14)/PRODUCT(FACT({3,1,3,6,1}))
That's equivalent mathematically but not computationally:

[Table="width:, class:grid"][tr][td="bgcolor:#C0C0C0"][/td][td="bgcolor:#C0C0C0"]
A​
[/td][td="bgcolor:#C0C0C0"]
B​
[/td][td="bgcolor:#C0C0C0"]
C​
[/td][td="bgcolor:#C0C0C0"]
D​
[/td][/tr][tr][td="bgcolor:#C0C0C0"]
1​
[/td][td][/td][td="bgcolor:#F3F3F3"]
Repeats
[/td][td][/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
2​
[/td][td][/td][td]
9​
[/td][td="bgcolor:#E5E5E5"]
0​
[/td][td]C2: =SUM(B$2:B2) - B2[/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
3​
[/td][td][/td][td]
12​
[/td][td="bgcolor:#E5E5E5"]
9​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
4​
[/td][td][/td][td]
18​
[/td][td="bgcolor:#E5E5E5"]
21​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
5​
[/td][td][/td][td]
12​
[/td][td="bgcolor:#E5E5E5"]
39​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
6​
[/td][td][/td][td]
11​
[/td][td="bgcolor:#E5E5E5"]
51​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
7​
[/td][td][/td][td]
14​
[/td][td="bgcolor:#E5E5E5"]
62​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
8​
[/td][td][/td][td]
9​
[/td][td="bgcolor:#E5E5E5"]
76​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
9​
[/td][td][/td][td]
11​
[/td][td="bgcolor:#E5E5E5"]
85​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
10​
[/td][td][/td][td]
8​
[/td][td="bgcolor:#E5E5E5"]
96​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
11​
[/td][td][/td][td]
12​
[/td][td="bgcolor:#E5E5E5"]
104​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
12​
[/td][td][/td][td]
12​
[/td][td="bgcolor:#E5E5E5"]
116​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
13​
[/td][td][/td][td]
11​
[/td][td="bgcolor:#E5E5E5"]
128​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
14​
[/td][td][/td][td]
12​
[/td][td="bgcolor:#E5E5E5"]
139​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
15​
[/td][td][/td][td]
8​
[/td][td="bgcolor:#E5E5E5"]
151​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
16​
[/td][td][/td][td]
12​
[/td][td="bgcolor:#E5E5E5"]
159​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
17​
[/td][td="bgcolor:#F3F3F3"]
Total
[/td][td="bgcolor:#E5E5E5"]
171​
[/td][td][/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
18​
[/td][td][/td][td][/td][td][/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
19​
[/td][td][/td][td][/td][td="bgcolor:#E5E5E5"]
1.352E+187​
[/td][td]C19: {=PRODUCT(COMBIN(B17 - C2:C16, B2:B16))}[/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
20​
[/td][td][/td][td][/td][td="bgcolor:#E5E5E5"]
#NUM!​
[/td][td]C20: {=FACT(B17)/PRODUCT(FACT(B2:B16))}[/td][/tr]
[/table]
 
Upvote 0
That's equivalent mathematically but not computationally:

[TABLE="class: grid"]
<TBODY>[TR]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "][/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
A​
[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
B​
[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
C​
[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
D​
[/TD]
[/TR]
[TR]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
1​
[/TD]
[TD][/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=f3f3f3]#f3f3f3[/URL] "]
Repeats
[/TD]
[TD][/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
2​
[/TD]
[TD][/TD]
[TD]
9​
[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=e5e5e5]#e5e5e5[/URL] "]
0​
[/TD]
[TD]C2: =SUM(B$2:B2) - B2
[/TD]
[/TR]
[TR]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
3​
[/TD]
[TD][/TD]
[TD]
12​
[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=e5e5e5]#e5e5e5[/URL] "]
9​
[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
4​
[/TD]
[TD][/TD]
[TD]
18​
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[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=e5e5e5]#e5e5e5[/URL] "]
21​
[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
5​
[/TD]
[TD][/TD]
[TD]
12​
[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=e5e5e5]#e5e5e5[/URL] "]
39​
[/TD]
[TD][/TD]
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[TR]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
6​
[/TD]
[TD][/TD]
[TD]
11​
[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=e5e5e5]#e5e5e5[/URL] "]
51​
[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
7​
[/TD]
[TD][/TD]
[TD]
14​
[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=e5e5e5]#e5e5e5[/URL] "]
62​
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[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
8​
[/TD]
[TD][/TD]
[TD]
9​
[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=e5e5e5]#e5e5e5[/URL] "]
76​
[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
9​
[/TD]
[TD][/TD]
[TD]
11​
[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=e5e5e5]#e5e5e5[/URL] "]
85​
[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
10​
[/TD]
[TD][/TD]
[TD]
8​
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[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=e5e5e5]#e5e5e5[/URL] "]
96​
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[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
11​
[/TD]
[TD][/TD]
[TD]
12​
[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=e5e5e5]#e5e5e5[/URL] "]
104​
[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
12​
[/TD]
[TD][/TD]
[TD]
12​
[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=e5e5e5]#e5e5e5[/URL] "]
116​
[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
13​
[/TD]
[TD][/TD]
[TD]
11​
[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=e5e5e5]#e5e5e5[/URL] "]
128​
[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
14​
[/TD]
[TD][/TD]
[TD]
12​
[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=e5e5e5]#e5e5e5[/URL] "]
139​
[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
15​
[/TD]
[TD][/TD]
[TD]
8​
[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=e5e5e5]#e5e5e5[/URL] "]
151​
[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
16​
[/TD]
[TD][/TD]
[TD]
12​
[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=e5e5e5]#e5e5e5[/URL] "]
159​
[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
17​
[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=f3f3f3]#f3f3f3[/URL] "]
Total
[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=e5e5e5]#e5e5e5[/URL] "]
171​
[/TD]
[TD][/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
18​
[/TD]
[TD][/TD]
[TD][/TD]
[TD][/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
19​
[/TD]
[TD][/TD]
[TD][/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=e5e5e5]#e5e5e5[/URL] "]
1.352E+187​
[/TD]
[TD]C19: {=PRODUCT(COMBIN(B17 - C2:C16, B2:B16))}
[/TD]
[/TR]
[TR]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=c0c0c0]#c0c0c0[/URL] "]
20​
[/TD]
[TD][/TD]
[TD][/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=e5e5e5]#e5e5e5[/URL] "]
#NUM!​
[/TD]
[TD]C20: {=FACT(B17)/PRODUCT(FACT(B2:B16))}
[/TD]
[/TR]
</TBODY>[/TABLE]
Hi shg, thank you for explanation that formula fails in some situationes, why I said "FACT" formulas is neat because I tried your formula post#10 to understand but did not workout the first values where form are generated please can you explain values shown in red =product(combin(14-{0,3,4,7,13</SPAN></SPAN>}, {3,1,3,6,1}))</SPAN></SPAN>

Thank you
</SPAN></SPAN>

Kind Regards,
</SPAN></SPAN>
Kishan
</SPAN></SPAN>
 
Upvote 0
Choose 3 of 14 for the first number.

There's 11 left: Choose 1

There 10 left: Choose 3

There's 7 left: Choose 6

There's 1 left: Choose 1

Multiply all those together.

There's no need to quote my posts back to me.
 
Upvote 0
@shg, got it, thank you for explaining in details </SPAN></SPAN>

Kind Regards,
</SPAN></SPAN>
Kishan
</SPAN></SPAN>
 
Upvote 0

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