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Pick 3, Pick 4 math please help

cps10's avatar - Lottery-004.jpg

I know that there is the following for Pick 3:

720 singles combinations (120 boxed)

270 doubles combinations (90 boxed)

10 triples combinations

 

Could someone give me the same breakdowns for Pick 4?

And if there were such thing as a Pick 5 and Pick 6 (with just single digits, not like conventional lotteries having P5 and P6), what would those breakdowns be? Thanks!

Raven62's avatar - binary

              Pick-4 Report
---------------------------------------------
       Sum       Straight        Boxed
      Total    Combinations   Combinations
---------------------------------------------
        0           1            1
        1           4            1
        2          10            2
        3          20            3
        4          35            5
        5          56            6
        6          84            9
        7         120           11
        8         165           15
        9         220           18
       10         282           22
       11         348           25
       12         415           30
       13         480           32
       14         540           36
       15         592           38
       16         633           41
       17         660           41
       18         670           43
       19         660           41
       20         633           41
       21         592           38
       22         540           36
       23         480           32
       24         415           30
       25         348           25
       26         282           22
       27         220           18
       28         165           15
       29         120           11
       30          84            9
       31          56            6
       32          35            5
       33          20            3
       34          10            2
       35           4            1
       36           1            1
---------------------------------------------
Total: 37        10000          715
---------------------------------------------

There are   10 possible 1 way number straight combinations.
There are 360 possible 4 way number straight combinations.
There are 270 possible 6 way number straight combinations.
There are 4320 possible 12 way number straight combinations.
There are 5340 possible 24 way number straight combinations.
        -----
        10000

There are 10 possible 1 way number boxed combinations.
There are 90 possible 4 way number boxed combinations.
There are 45 possible 6 way number boxed combinations.
There are 360 possible 12 way number boxed combinations.
There are 210 possible 24 way number boxed combinations.
         ---
         715

 

Avatar

PICK 3
                            Permutations
            Boxed          Possible From       
            Count          Boxed Count         

Set  Form  Combinatorial * Permutational  = Product

1    A A A       10              1              10     10

2    A A B       45              3              135   
2    A B B       45              3              135   270

3    A B C      120              6              720   720
                                        Total  1000  1000

PICK 4
                            Permutations
              Boxed          Possible From       
              Count          Boxed Count         

Set  Form     Combinatorial * Permutational   =  Product

1    A A A A      10              1                   10    10

2    A A A B      45              4                  180
2    A B B B      45              4                  180
2    A A B B      45              6                  270    630
                                                           
3    A A B C      120            12                 1440
3    A B B C      120            12                 1440
3    A B C C      120            12                 1440   4320

4    A B C D      210            24                 5040   5040
                                            Total  10000  10000

cps10's avatar - Lottery-004.jpg

Doug and Raven, thank you. Is there anyway you can also do Pick 5 single digits and Pick 6 single digits? Thanks!!

Avatar
BASE SET BASIC FORM COMBINATORIALPERMUTATIONALPRODUCT
           
 PICK1       
1A      10110
         TOTAL10
           
 PICK2       
1AA     10110
2AB     45290
         TOTAL100
           
 PICK3       
1AAA    10110
2AAB    453135
2ABB    453135
3ABC    1206720
         TOTAL1000
           
 PICK4       
1AAAA   10110
2AAAB   454180
2AABB   456270
2ABBB   454180
3AABC   120121440
3ABBC   120121440
3ABCC   120121440
4ABCD   210245040
         TOTAL10000
           
 PICK5       
1AAAAA  10110
2AAAAB  455225
2AAABB  4510450
2AABBB  4510450
2ABBBB  455225
3AAABC  120202400
3AABBC  120303600
3ABBBC  120202400
3AABCC  120303600
3ABBCC  120303600
3ABCCC  120202400
4AABCD  2106012600
4ABBCD  2106012600
4ABCCD  2106012600
4ABCDD  2106012600
5ABCDE  25212030240
         TOTAL100000
           
 PICK6       
1AAAAAA 10110
2AAAAAB 456270
2AAAABB 4515675
2AAABBB 4520900
2AABBBB 4515675
2ABBBBB 456270
3AAAABC 120303600
3AAABBC 120607200
3AABBBC 120607200
3ABBBBC 120303600
3AAABCC 120607200
3AABBCC 1209010800
3ABBBCC 120607200
3AABCCC 120607200
3ABBCCC 120607200
3ABCCCC 120303600
4AAABCD 21012025200
4AABBCD 21018037800
4ABBBCD 21012025200
4AABCCD 21018037800
4ABBCCD 21018037800
4ABCCCD 21012025200
4AABCDD 21018037800
4ABBCDD 21018037800
4ABCCDD 21018037800
4ABCDDD 21012025200
5AABCDE 25236090720
5ABBCDE 25236090720
5ABCCDE 25236090720
5ABCDDE 25236090720
5ABCDEE 25236090720
6ABCDEF 210720151200
         TOTAL1000000
cps10's avatar - Lottery-004.jpg

That's awesome Doug...thanks a million!!

Avatar

Thank you.

Here's the spreadsheet for it --->  PICK 1 to PICK 6

cps10's avatar - Lottery-004.jpg

Super...that is something...this will be very interesting with the research I am doing.

Raven62's avatar - binary

              Pick-4 Report
---------------------------------------------
       Sum       Straight        Boxed
      Total    Combinations   Combinations
---------------------------------------------
        0           1            1
        1           4            1
        2          10            2
        3          20            3
        4          35            5
        5          56            6
        6          84            9
        7         120           11
        8         165           15
        9         220           18
       10         282           22
       11         348           25
       12         415           30
       13         480           32
       14         540           36
       15         592           38
       16         633           41
       17         660           41
       18         670           43
       19         660           41
       20         633           41
       21         592           38
       22         540           36
       23         480           32
       24         415           30
       25         348           25
       26         282           22
       27         220           18
       28         165           15
       29         120           11
       30          84            9
       31          56            6
       32          35            5
       33          20            3
       34          10            2
       35           4            1
       36           1            1
---------------------------------------------
Total: 37        10000          715
---------------------------------------------

There are   10 possible 1 way number straight combinations.
There are 360 possible 4 way number straight combinations.
There are 270 possible 6 way number straight combinations.
There are 4320 possible 12 way number straight combinations.
There are 5340 possible 24 way number straight combinations.
        -----
        10000

There are 10 possible 1 way number boxed combinations.
There are 90 possible 4 way number boxed combinations.
There are 45 possible 6 way number boxed combinations.
There are 360 possible 12 way number boxed combinations.
There are 210 possible 24 way number boxed combinations.
         ---
         715

 

Correction on 24 way straight total: 

There are   10 possible 1 way number straight combinations.
There are 360 possible 4 way number straight combinations.
There are 270 possible 6 way number straight combinations.
There are 4320 possible 12 way number straight combinations.
There are 5040 possible 24 way number straight combinations.
        -----
        10000

There are 10 possible 1 way number boxed combinations.
There are 90 possible 4 way number boxed combinations.
There are 45 possible 6 way number boxed combinations.
There are 360 possible 12 way number boxed combinations.
There are 210 possible 24 way number boxed combinations.
         ---
         715


Avatar

Here's the PICK 1 to PICK 10 spreadsheet --->  PICK 1 to PICK 10

cps10's avatar - Lottery-004.jpg

Thanks Doug...how are the selections coming? Would you say you get a hit in every state on average?

Avatar

I've been posting generic standard sets in PICK 3 and PICK 4.

No analysis of previous draws.

It's mostly based in the Law of Averages and Standard Distribution Sampling Theory.

It's something I've been working on that is also related to JADE Lottery System Generator's process for creating the base set of combinations in the application.

LAVERNE MALONEY's avatar - smallgirl

I've been posting generic standard sets in PICK 3 and PICK 4.

No analysis of previous draws.

It's mostly based in the Law of Averages and Standard Distribution Sampling Theory.

It's something I've been working on that is also related to JADE Lottery System Generator's process for creating the base set of combinations in the application.

& I commend you JADELottey for your work. You have been pulling the hits on the predictions board at a good steady pace.

That list just keeps yielding. Just pay attention to where the hits are & you will soon know where they are going next.

Avatar

I've been posting generic standard sets in PICK 3 and PICK 4.

No analysis of previous draws.

It's mostly based in the Law of Averages and Standard Distribution Sampling Theory.

It's something I've been working on that is also related to JADE Lottery System Generator's process for creating the base set of combinations in the application.

& I commend you JADELottey for your work. You have been pulling the hits on the predictions board at a good steady pace.

That list just keeps yielding. Just pay attention to where the hits are & you will soon know where they are going next.

This relates to the other work I've been exploring.

It's under the topic 'The combinatorics of a permutation'.

cps10's avatar - Lottery-004.jpg

That sounds great...I am still hard at work as always! :)

Let's keep these winnings going, JADE, Laverne!

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