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8 Digits -a problem

Topic closed. 5 replies. Last post 4 years ago by SergeM.

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Fibonacci's avatar - Lottery-050.jpg
New York, NY
United States
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May 16, 2006
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Posted: May 2, 2013, 8:06 am - IP Logged

How many 8 digit numbers are there that use the digits 0 to 9, with 0 being treated like any other digit (ie it can come in place 1, e.g 01234567) and that all digits are consecutive....?

 

01234567

01234568

01234569

etc....

$$$

    JADELottery's avatar - YingYangYong 01.PNG
    The Quantum Master
    West Concord, MN
    United States
    Member #21
    December 7, 2001
    3684 Posts
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    Posted: May 2, 2013, 8:27 am - IP Logged

    Are duplicates allowed?

    Like 00223344

    Presented 'AS IS' and for Entertainment Purposes Only.
    Any gain or loss is your responsibility.
    Use at your own risk.

    Order is a Subset of Chaos
    Knowledge is Beyond Belief
    Wisdom is Not Censored
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    Jehocifer

      Fibonacci's avatar - Lottery-050.jpg
      New York, NY
      United States
      Member #39471
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      Posted: May 2, 2013, 8:38 am - IP Logged

      No duplicates...sorry for not clarifying....

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        JADELottery's avatar - YingYangYong 01.PNG
        The Quantum Master
        West Concord, MN
        United States
        Member #21
        December 7, 2001
        3684 Posts
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        Posted: May 2, 2013, 8:50 am - IP Logged

        There are only 45 combinations.

        10 numbers taken 8 at a time, nCr(10,8) = 45.

        101234567
        201234568
        301234569
        401234578
        501234579
        601234589
        701234678
        801234679
        901234689
        1001234789
        1101235678
        1201235679
        1301235689
        1401235789
        1501236789
        1601245678
        1701245679
        1801245689
        1901245789
        2001246789
        2101256789
        2201345678
        2301345679
        2401345689
        2501345789
        2601346789
        2701356789
        2801456789
        2902345678
        3002345679
        3102345689
        3202345789
        3302346789
        3402356789
        3502456789
        3603456789
        3712345678
        3812345679
        3912345689
        4012345789
        4112346789
        4212356789
        4312456789
        4413456789
        4523456789

        Presented 'AS IS' and for Entertainment Purposes Only.
        Any gain or loss is your responsibility.
        Use at your own risk.

        Order is a Subset of Chaos
        Knowledge is Beyond Belief
        Wisdom is Not Censored
        Douglas Paul Smallish
        Jehocifer

          Fibonacci's avatar - Lottery-050.jpg
          New York, NY
          United States
          Member #39471
          May 16, 2006
          2698 Posts
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          Posted: May 2, 2013, 8:52 am - IP Logged

          Thanks much Jadelottery...

          $$$

            SergeM's avatar - slow icon.png
            Economy class
            Belgium
            Member #123700
            February 27, 2012
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            Posted: May 2, 2013, 11:40 am - IP Logged

            How many 8 digit numbers are there that use the digits 0 to 9, with 0 being treated like any other digit (ie it can come in place 1, e.g 01234567) and that all digits are consecutive....?

             

            01234567

            01234568

            01234569

            etc....

            0 to 9 = 10 digits; all digits are consecutive means no gaps; 8 digits consecutive: 01234567 & 12345678 & 23456789.