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10 Digits, in How many 5 Pairs groups of them are there?

Topic closed. 20 replies. Last post 8 years ago by jr-va.

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sysp34's avatar - Lottery-062.jpg
Heroic City
Indonesia
Member #31689
February 2, 2006
1153 Posts
Offline
Posted: December 7, 2008, 10:14 am - IP Logged

With 10 digits from 0 to 9

How many groups of 5 pairs each are there?

In which each group of 5 pairs has all the 10 digits from 0 to 9 among the 5 pairs in that group.

-------------

There are 100 possible pairs of the digits 0 to 9, But of them, Which 5 combination of pairs have all the 10 digits in them and How many such groups are there?

Some pairs can repeat from one group of 5 pairs to another group of 5 pairs, so long as not all the pairs repeat from one group to another group.

And can a list of all such groups be made? or Are there way too many?

Monsieur Fernando

about 100 pairs number why not use =combin(y,x) function in spreadsheet where y numbers and x numbers choosen

 

total  combinatonpairscycles
          75.287.5201005
            1.221.759455

how to create them use i suggest you might use expert lotto or maybe later i send all combination in text if you're interested

gl

Et erunt signa in sole.......Et luna et stellis.......Et presura gentium
Prae confusione sonitus maris.


    LANTERN's avatar - kilroy 28_173_reasonably_small.jpg
    Tx
    United States
    Member #4570
    May 4, 2004
    5180 Posts
    Offline
    Posted: December 8, 2008, 12:04 am - IP Logged

    Monsieur Fernando

    about 100 pairs number why not use =combin(y,x) function in spreadsheet where y numbers and x numbers choosen

     

    total  combinatonpairscycles
              75.287.5201005
                1.221.759455

    how to create them use i suggest you might use expert lotto or maybe later i send all combination in text if you're interested

    gl

    Señor Ragwi

    Thanks a Lot!

    But I don't need those combinations.

    Probably, if I ever have time to research any uses for them, I might only use one or a very few of them, a simple use for one of them that I tried a few days ago, gave some stats that I thought that might be of some use for me, but I could not use them, there are still one or more things to try with them, but not for a while.

    Thanks again!

      sysp34's avatar - Lottery-062.jpg
      Heroic City
      Indonesia
      Member #31689
      February 2, 2006
      1153 Posts
      Offline
      Posted: December 9, 2008, 12:37 am - IP Logged

      JohnPH

      I was talking about combinations where each number (Digit from 0 to 9) is unique such as on your 2 examples:

      01 23 45 67 89 = 10 32 54 76 98

      98 76 54 32 10 = 89 67 45 23 01

      And also like:

      02 13 46 57 98 = 20 31 64 75 89

      97 86 53 42 01 = 79 68 35 24 10

      That should make them even fewer combinations.

      Each pair is: Pair 1, Pair 2, Pair 3, Pair 4 and Pair 5. or SubGroup 1, 2, 3, 4 and 5.

      They would be used for digits' stats, so the order 01 or 10 on any pair does not matter, only that there are 2 digts out of the 10 on any subgroup or pair.

      --------------

      For example:

      Group # 1 (Just an example). First possible group out of many.

      SubGroups:

      01       02        03        04        05  Always from SubGroup 1 to SubGroup 5

      01       23        45        67        89

      XX                   X                              Oldest Draw. Sample true stat data from a state.

                  X                      X           X

                             X           XX

      X                                  X           X

      X          X                                   X

      X                                  XX

                  X                                    XX

      X          X                      X                  Newest Draw.

      How to use it? That is yet to be seen, depends on the patterns themselves.

      Mon, Nov 03, 2008    7-0-2 Newest Draw
      Sat, Nov 01, 2008    9-9-3
      Fri, Oct 31, 2008    1-6-7
      Thu, Oct 30, 2008    3-0-8
      Wed, Oct 29, 2008    8-1-7
      Tue, Oct 28, 2008    6-7-5
      Mon, Oct 27, 2008    7-3-9
      Sat, Oct 25, 2008    1-0-5 Oldest Draw.

      ----------

      Now, this might or might not be exactly like that it is just an example.

      These would be stats for possible filtration, I might want from 30 to 300 such groups, that should be more than enough, of which I might (rotate) use from 1 to 30 such stats-filter-groups (Maybe).

      This might be basic stage 1,2 or stage 2 filtration (I am not sure yet), a beginning, so far.

      Thanks a lot, very much, too hard for me to figure out by hand, but I could do a few of such groups by hand by myself.

      As always, I can make mistakes on the posts.

      Monsieur Fernando

      There are 945 pairs (945 vs 945)as JohnP talking about and here are the list just in case you're interested

       

      PairsPairs
      01234567891032547698
      01234568791032548697
      01234569781032549687
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      PairsPairs
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      PairsPairs
      04123567894021537698
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      04123657894021637598
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      04123659784021639587
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      PairsPairs
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      PairsPairs
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      PairsPairs
      07123456897021436598
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      PairsPairs
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      PairsPairs
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      09152734689051724386
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      09172345689071325486
      09172346589071326485
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      09172438569071428365
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      09172638459071628354
      09172834569071824365
      09172835469071825364
      09172836459071826354
      09182345679081325476
      09182346579081326475
      09182347569081327465
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      09182436579081426375
      09182437569081427365
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      09182536479081526374
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      09182634579081624375
      09182635479081625374
      09182637459081627354
      09182734569081724365
      09182735469081725364
      09182736459081726354

      hope this usefull to track one states/lottery

      gl

      Et erunt signa in sole.......Et luna et stellis.......Et presura gentium
      Prae confusione sonitus maris.


        LANTERN's avatar - kilroy 28_173_reasonably_small.jpg
        Tx
        United States
        Member #4570
        May 4, 2004
        5180 Posts
        Offline
        Posted: December 9, 2008, 2:16 am - IP Logged

        Thanks a lot! Mr Ragwi.

        But I think that only software could make use of so many such groups, perhaps some stats and filter uses, but I won't know for a long while, as work by hand is very hard and takes very long and I don't yet feel like doing it.

        Fernando.

          Avatar

          United States
          Member #67870
          December 7, 2008
          154 Posts
          Offline
          Posted: January 3, 2009, 4:17 am - IP Logged

          poeple, thank you all for posting the combos

           

          it is interesting, and playing any one line across (from the above)  has a 1:9 chance of winning the pairs game (doubles excluded).

            Avatar

            United States
            Member #67870
            December 7, 2008
            154 Posts
            Offline
            Posted: January 3, 2009, 6:22 am - IP Logged

            Odds of winning the pairs game are only 1:4 if you play one of the following 4 lines across:

             

            a)  01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

            b)  26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

            c)   51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75

            d)  76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00

             

            Smile