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Pick 3, Pick 4 math please help

Topic closed. 21 replies. Last post 15 years ago by txp3maven.

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cps10's avatar - Lottery-004.jpg
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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
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                  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

     

      JADELottery's avatar - BlackStarSquare 00.png

      United States
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      December 7, 2001
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      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
        Thread Starter
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        Doug and Raven, thank you. Is there anyway you can also do Pick 5 single digits and Pick 6 single digits? Thanks!!

          JADELottery's avatar - BlackStarSquare 00.png

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

              JADELottery's avatar - BlackStarSquare 00.png

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              Thank you.

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

              .

                cps10's avatar - Lottery-004.jpg
                Thread Starter
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                Super...that is something...this will be very interesting with the research I am doing.

                  Raven62's avatar - binary
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                                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


                    JADELottery's avatar - BlackStarSquare 00.png

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

                    .

                      cps10's avatar - Lottery-004.jpg
                      Thread Starter
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                      Thanks Doug...how are the selections coming? Would you say you get a hit in every state on average?

                        JADELottery's avatar - BlackStarSquare 00.png

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                        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

                          United States
                          Member #1987
                          August 5, 2003
                          8980 Posts
                          Offline

                          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.

                            JADELottery's avatar - BlackStarSquare 00.png

                            United States
                            Member #21
                            December 7, 2001
                            4530 Posts
                            Offline

                            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
                              Thread Starter
                              The Carolinas - Charlotte
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                              That sounds great...I am still hard at work as always! :)

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