Combinations Permutations_Variable Analysis

cotech_10

Board Regular
Joined
Sep 11, 2010
Messages
135
Office Version
  1. 2016
Platform
  1. Windows
Hi All,

I would like to request the following combinations and permutations type of calculation based on a certain set of criteria's:

I would like to use alphanumerical data and produce a Combinations/Permutations Outcomes Table based on a variable selective criteria.

Example (1) : Variable Selective Criteria 1:

Alphanumerical Data : 1 to 8
Numbers to choose from : 8
Number combinations : 4

Repetitons allowed : Yes
Any order allowed : Yes
Maximum repetitions : 4

Based on this Variable Selective Criteria the Permutations would be 4,096


Therefore from the List of 4,096 possible permutations outcomes such as the following
would be allowed :

(1,1,1,1): (2,2,2,2) : (3,3,3,3) etc...


_________________________________________________________________________________________

Example (2) : Variable Selective Criteria 2:

Alphanumerical Data : 1 to 8

Numbers to choose from : 8
Number combinations : 4

Repetitions allowed : Yes
Any order allowed : Yes
Maximum Repetitions : 3


List only Permutations where the repetition of any value is not greater than (3)

For example from the List of 4,096 possible permutations outcomes such as the following
would be filtered out:

(1,1,1,1): (2,2,2,2) : (3,3,3,3) etc...

_________________________________________________________________________________________

Example (3) : Variable Selective Criteria 3:

Alphanumerical Data : 1 to 8

Numbers to choose from : 8
Number combinations : 4

Repetitions allowed : Yes
Any order allowed : Yes
Maximum Repetitions : 2


List only Permutations where the repetition of any value is not greater than (2)

For example from the List of 4,096 possible permutations outcomes such as the following
would be filtered out :

(1,1,1,2): (2,2,2,3): (3,3,3,4) etc... these outcomes contain more than (2) repetitions of any value

Allowed permutations would be for example :

(1,1,2,2): (2,2,3,3): (3,3,2,4) etc... these outcomes do not contain more than (2) repetitions of any value

_________________________________________________________________________________________


Example (4) : Variable Selective Criteria 4:

Alphanumerical Data : 1 to 10

Numbers to choose from : 10
Number combinations : 3

Repetitions allowed : Yes
Any order allowed : Yes
Maximum repetitions : 3

Based on this Variable Selective Criteria the Permutations would be 1,000


Therefore from the List of 1,00 possible permutations the following outcomes would be allowed:

(1,1,1): (2,2,2) : (3,3,3) etc...


_________________________________________________________________________________________


Example (5) : Variable Selective Criteria 5:

Alphanumerical Data : 1 to 10

Numbers to choose from : 10
Number combinations : 3

Repetitions allowed : No
Any order allowed : Yes
Maximum repetitions : 3

Based on this Variable Selective Criteria the Permutations would be 1,000


Therefore from the List of 1,00 possible permutations the following outcomes would be allowed:

(1,2,3): (2,3,4) : (3,4,5) etc...


_______________________________________________________________________________________________


Output Tables would like the following Tables below:



Table 1 : Variable Criteria Table

1704504684286.png




Table 2 : Combinations and Permutations Outcomes Table


1704504644910.png





Regards
 

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Hi All,

I would like to request the following combinations and permutations type of calculation based on a certain set of criteria's:

I would like to use alphanumerical data and produce a Combinations/Permutations Outcomes Table based on a variable selective criteria.

Example (1) : Variable Selective Criteria 1:

Alphanumerical Data : 1 to 8
Numbers to choose from : 8
Number combinations : 4

Repetitons allowed : Yes
Any order allowed : Yes
Maximum repetitions : 4

Based on this Variable Selective Criteria the Permutations would be 4,096


Therefore from the List of 4,096 possible permutations outcomes such as the following
would be allowed :

(1,1,1,1): (2,2,2,2) : (3,3,3,3) etc...


_________________________________________________________________________________________

Example (2) : Variable Selective Criteria 2:

Alphanumerical Data : 1 to 8

Numbers to choose from : 8
Number combinations : 4

Repetitions allowed : Yes
Any order allowed : Yes
Maximum Repetitions : 3


List only Permutations where the repetition of any value is not greater than (3)

For example from the List of 4,096 possible permutations outcomes such as the following
would be filtered out:

(1,1,1,1): (2,2,2,2) : (3,3,3,3) etc...

_________________________________________________________________________________________

Example (3) : Variable Selective Criteria 3:

Alphanumerical Data : 1 to 8

Numbers to choose from : 8
Number combinations : 4

Repetitions allowed : Yes
Any order allowed : Yes
Maximum Repetitions : 2


List only Permutations where the repetition of any value is not greater than (2)

For example from the List of 4,096 possible permutations outcomes such as the following
would be filtered out :

(1,1,1,2): (2,2,2,3): (3,3,3,4) etc... these outcomes contain more than (2) repetitions of any value

Allowed permutations would be for example :

(1,1,2,2): (2,2,3,3): (3,3,2,4) etc... these outcomes do not contain more than (2) repetitions of any value

_________________________________________________________________________________________


Example (4) : Variable Selective Criteria 4:

Alphanumerical Data : 1 to 10

Numbers to choose from : 10
Number combinations : 3

Repetitions allowed : Yes
Any order allowed : Yes
Maximum repetitions : 3

Based on this Variable Selective Criteria the Permutations would be 1,000


Therefore from the List of 1,00 possible permutations the following outcomes would be allowed:

(1,1,1): (2,2,2) : (3,3,3) etc...


_________________________________________________________________________________________


Example (5) : Variable Selective Criteria 5:

Alphanumerical Data : 1 to 10

Numbers to choose from : 10
Number combinations : 3

Repetitions allowed : No
Any order allowed : Yes
Maximum repetitions : 3

Based on this Variable Selective Criteria the Permutations would be 1,000


Therefore from the List of 1,00 possible permutations the following outcomes would be allowed:

(1,2,3): (2,3,4) : (3,4,5) etc...


_______________________________________________________________________________________________


Output Tables would like the following Tables below:



Table 1 : Variable Criteria Table

View attachment 104517



Table 2 : Combinations and Permutations Outcomes Table


View attachment 104516




Regards
Hi All,

Correction to Example (5)


_________________________________________________________________________________________


Example (5) : Variable Selective Criteria 5:

Alphanumerical Data : 1 to 10

Numbers to choose from : 10
Number combinations : 3

Repetitions allowed : No
Any order allowed : Yes
Maximum repetitions : 3

Based on this Variable Selective Criteria the Permutations would be 220


Therefore from the List of 220 possible permutations the following outcomes would be allowed:

(1,2,3): (2,3,4) : (3,4,5) etc...


_______________________________________________________________________________________________

The number of outcomes is 220 not 1,000
 
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