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How Many Quintos Combos

Topic closed. 14 replies. Last post 8 years ago by Greg.

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winsumloosesum's avatar - Lottery-060.jpg
Pennsylvania
United States
Member #2218
September 1, 2003
5387 Posts
Offline
Posted: January 7, 2009, 10:19 pm - IP Logged

Ok my brain is fried right now.

I need help in figuring how many combinations from the following:

0 1 2 3 4

5 6 7 8 9

 

I'll get it started.  I think it should be 32 combinations.

01234, 01239, 01284, 01289, 01734, 01739, 01784, 01789

06234, 06239, 06284, 06289, 06734, 06739, 06784, 06789

===========================================

51234, 51239, 51284, 51289, 51734, 51739, 51784, 51789

56234, 56239, 56284, 56289, 56734, 56739, 56784, 56789

Am I missing any??

Thanks!!

    Avatar

    United States
    Member #66928
    November 11, 2008
    174 Posts
    Offline
    Posted: January 8, 2009, 8:22 am - IP Logged

    There has to be alot more.  and if there are doubles, etc., a gazillion!! Maybe there's a wheel somewhere to do it. 

    Top of my head, I see

     

    01235 01236 01237 01238

    12345 12346 12347 12348 12349

    23456 23457....

     

    there are ALOT!!!

      CARBOB's avatar - FL LOTTERY_LOGO.png
      ORLANDO, FLORIDA
      United States
      Member #4924
      June 3, 2004
      5893 Posts
      Offline
      Posted: January 8, 2009, 8:50 am - IP Logged

      Ok my brain is fried right now.

      I need help in figuring how many combinations from the following:

      0 1 2 3 4

      5 6 7 8 9

       

      I'll get it started.  I think it should be 32 combinations.

      01234, 01239, 01284, 01289, 01734, 01739, 01784, 01789

      06234, 06239, 06284, 06289, 06734, 06739, 06784, 06789

      ===========================================

      51234, 51239, 51284, 51289, 51734, 51739, 51784, 51789

      56234, 56239, 56284, 56289, 56734, 56739, 56784, 56789

      Am I missing any??

      Thanks!!

      Steve, explain what you are trying to do. Are you attempting to put all 10 digits into groups of 5?

       

      01234
      01235
      01236
      01237
      01238
      01239
      01245
      01246
      01247
      01248
      01249
      01256
      01257
      01258
      01259
      01267
      01268
      01269
      01278
      01279
      01289
      01345
      01346
      01347
      01348
      01349
      01356
      01357
      01358
      01359
      01367
      01368
      01369
      01378
      01379
      01389
      01456
      01457
      01458
      01459
      01467
      01468
      01469
      01478
      01479
      01489
      01567
      01568
      01569
      01578
      01579
      01589
      01678
      01679
      01689
      01789
      02345
      02346
      02347
      02348
      02349
      02356
      02357
      02358
      02359
      02367
      02368
      02369
      02378
      02379
      02389
      02456
      02457
      02458
      02459
      02467
      02468
      02469
      02478
      02479
      02489
      02567
      02568
      02569
      02578
      02579
      02589
      02678
      02679
      02689
      02789
      03456
      03457
      03458
      03459
      03467
      03468
      03469
      03478
      03479
      03489
      03567
      03568
      03569
      03578
      03579
      03589
      03678
      03679
      03689
      03789
      04567
      04568
      04569
      04578
      04579
      04589
      04678
      04679
      04689
      04789
      05678
      05679
      05689
      05789
      06789
      12345
      12346
      12347
      12348
      12349
      12356
      12357
      12358
      12359
      12367
      12368
      12369
      12378
      12379
      12389
      12456
      12457
      12458
      12459
      12467
      12468
      12469
      12478
      12479
      12489
      12567
      12568
      12569
      12578
      12579
      12589
      12678
      12679
      12689
      12789
      13456
      13457
      13458
      13459
      13467
      13468
      13469
      13478
      13479
      13489
      13567
      13568
      13569
      13578
      13579
      13589
      13678
      13679
      13689
      13789
      14567
      14568
      14569
      14578
      14579
      14589
      14678
      14679
      14689
      14789
      15678
      15679
      15689
      15789
      16789
      23456
      23457
      23458
      23459
      23467
      23468
      23469
      23478
      23479
      23489
      23567
      23568
      23569
      23578
      23579
      23589
      23678
      23679
      23689
      23789
      24567
      24568
      24569
      24578
      24579
      24589
      24678
      24679
      24689
      24789
      25678
      25679
      25689
      25789
      26789
      34567
      34568
      34569
      34578
      34579
      34589
      34678
      34679
      34689
      34789
      35678
      35679
      35689
      35789
      36789
      45678
      45679
      45689
      45789
      46789
      56789
        Stew12's avatar - bad egg-64x64.png
        CT
        United States
        Member #61398
        May 21, 2008
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        Posted: January 8, 2009, 9:53 am - IP Logged

        Pick 5 out of 10, only unique digits:

        10!/(5!(10-5)!) = 252

          CARBOB's avatar - FL LOTTERY_LOGO.png
          ORLANDO, FLORIDA
          United States
          Member #4924
          June 3, 2004
          5893 Posts
          Offline
          Posted: January 8, 2009, 11:02 am - IP Logged

          Pick 5 out of 10, only unique digits:

          10!/(5!(10-5)!) = 252

          Thanks Stew for the confirmation, that's the number I posted. He hasn't answered the post, yet. I just assumed that was what he was looking for. But, you know what happens when we assume something!!!

            JADELottery's avatar - MeAtWork 03.PNG
            The Quantum Master
            West Concord, MN
            United States
            Member #21
            December 7, 2001
            3675 Posts
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            Posted: January 8, 2009, 12:20 pm - IP Logged

            Ok my brain is fried right now.

            I need help in figuring how many combinations from the following:

            0 1 2 3 4

            5 6 7 8 9

             

            I'll get it started.  I think it should be 32 combinations.

            01234, 01239, 01284, 01289, 01734, 01739, 01784, 01789

            06234, 06239, 06284, 06289, 06734, 06739, 06784, 06789

            ===========================================

            51234, 51239, 51284, 51289, 51734, 51739, 51784, 51789

            56234, 56239, 56284, 56289, 56734, 56739, 56784, 56789

            Am I missing any??

            Thanks!!

            You have it right for what combinations you are looking for.

            two numbers taken one at a time for five different selections.

            one selection is 2! / ((2 - 1)! · 1!) = 2

            five different selections is (2 · 2 · 2 · 2 · 2) = 32

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              WIN  D's avatar - q05Q0
              Stone Mountain*Georgia
              United States
              Member #828
              November 2, 2002
              10491 Posts
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              Posted: January 8, 2009, 2:52 pm - IP Logged

              250 Straight combinations ...... but how many Box combinations would it be ?   LOL    Thinking of...

               

               

              The only real failure .....is the failure to try.                               

                                            Luck is a very rare thing....... Odds not so much. 

                                            Odds never change .....but probability does. 

                                                                                                     Win d    

                Stew12's avatar - bad egg-64x64.png
                CT
                United States
                Member #61398
                May 21, 2008
                781 Posts
                Offline
                Posted: January 8, 2009, 4:13 pm - IP Logged

                That IS box combinations, the calculation is the same that works for Powerball, Mega Millions, etc (which are BOX games).  Straight would be 10^5 = 100,000 combinations (counting repeats possible, as well as doubles, tripples, quadrules and quintuples).

                  WIN  D's avatar - q05Q0
                  Stone Mountain*Georgia
                  United States
                  Member #828
                  November 2, 2002
                  10491 Posts
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                  Posted: January 8, 2009, 6:29 pm - IP Logged

                   Think I have a little Lex-dys-ia ....   

                    I don't know of any game using 0-9 digits for a 5 digit base. ......(let us know Steve).......but if Steve wanted to use all 10 digits in a base 10 system it would be .....

                   10^10 = 10 Billion         and thats 10 Billion Straights  LOL             1 followed by 10 zeros ...   LOL     

                   

                                                              Good for a Universal Inter-galatic pick 10 game !         

                   

                   

                  The only real failure .....is the failure to try.                               

                                                Luck is a very rare thing....... Odds not so much. 

                                                Odds never change .....but probability does. 

                                                                                                         Win d    

                    winsumloosesum's avatar - Lottery-060.jpg
                    Pennsylvania
                    United States
                    Member #2218
                    September 1, 2003
                    5387 Posts
                    Offline
                    Posted: January 8, 2009, 7:24 pm - IP Logged

                    Ok my brain is fried right now.

                    I need help in figuring how many combinations from the following:

                    0 1 2 3 4

                    5 6 7 8 9

                     

                    I'll get it started.  I think it should be 32 combinations.

                    01234, 01239, 01284, 01289, 01734, 01739, 01784, 01789

                    06234, 06239, 06284, 06289, 06734, 06739, 06784, 06789

                    ===========================================

                    51234, 51239, 51284, 51289, 51734, 51739, 51784, 51789

                    56234, 56239, 56284, 56289, 56734, 56739, 56784, 56789

                    Am I missing any??

                    Thanks!!

                    Sorry I threw everyone off here.

                    These would be combos for Pennsylvania Quinto Draw.

                    The 0 & 5 would be the 1st digits.

                    So you would have so many combos starting with the 5 and so many combos starting with the 0 (zero)

                    I guess 32 combinations would be correct.

                      Avatar

                      United States
                      Member #119
                      February 19, 2002
                      527 Posts
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                      Posted: January 8, 2009, 10:15 pm - IP Logged

                      Ok my brain is fried right now.

                      I need help in figuring how many combinations from the following:

                      0 1 2 3 4

                      5 6 7 8 9

                       

                      I'll get it started.  I think it should be 32 combinations.

                      01234, 01239, 01284, 01289, 01734, 01739, 01784, 01789

                      06234, 06239, 06284, 06289, 06734, 06739, 06784, 06789

                      ===========================================

                      51234, 51239, 51284, 51289, 51734, 51739, 51784, 51789

                      56234, 56239, 56284, 56289, 56734, 56739, 56784, 56789

                      Am I missing any??

                      Thanks!!

                      Wait I thought you multiplied each column: 2 x 2x 2x 2x 2 = 32-- that's what I was taught!

                        Stew12's avatar - bad egg-64x64.png
                        CT
                        United States
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                        May 21, 2008
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                        Posted: January 9, 2009, 9:23 am - IP Logged

                        Sorry I threw everyone off here.

                        These would be combos for Pennsylvania Quinto Draw.

                        The 0 & 5 would be the 1st digits.

                        So you would have so many combos starting with the 5 and so many combos starting with the 0 (zero)

                        I guess 32 combinations would be correct.

                        First off, Quinto is a 5 digit numbers game, such as pick 3/4, correct?  I figure as much since I see results like: 5-1-0-0-1 and 7-9-7-2-0.

                        First number 0 or 5:

                        Calculate the other 4 combinations like a pick 4 game, each having 10 possible digits, like numbers are allowed.  10^4 = 10,000. 2 ways for each combination (0 and 5) = 20,000 combinations for Quinto starting with either a 0 or 5.

                        How do you get 32?  No singles, doubles, tripples, etc?? what about 0-0-0-0-0 through 0-1-2-3-3?  Not counting any of those?

                          Stew12's avatar - bad egg-64x64.png
                          CT
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                          Posted: January 9, 2009, 9:26 am - IP Logged

                          Oh, maybe you're saying using only these 10 digits no more than once, 0-1-2-3-4-5-6-7-8-9 and 0 or 5 needs to be in the first position.

                          Well if a 0 was in the first position you would have 9 other digits for 4 positions to choose from, leaving you with 126 BOX combinations (9!/(4!(9-4)!)).  The same applies for combinations starting with a 5, so you have 126*2= 252 combinations.

                            Raven62's avatar - binary
                            New Jersey
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                            Posted: January 9, 2009, 6:36 pm - IP Logged

                            That IS box combinations, the calculation is the same that works for Powerball, Mega Millions, etc (which are BOX games).  Straight would be 10^5 = 100,000 combinations (counting repeats possible, as well as doubles, tripples, quadrules and quintuples).

                            I Agree!

                            A mind once stretched by a new idea never returns to its original dimensions!

                              Avatar

                              United States
                              Member #119
                              February 19, 2002
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                              Posted: January 9, 2009, 10:41 pm - IP Logged

                              I thought he was asking how many combinations would he get from just those two numbers of 5 digits each ..