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Could somebody work this out for me?

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  • 05-08-2015 5:15pm
    #1
    Registered Users Posts: 77 ✭✭


    I'd consider myself good at maths but my head isn't able to work this out today.

    Can somebody work out how many unique 6 figure combinations can be made first 26 letter and 0-9 and then 18 letters and 0-9

    Many thanks


Comments

  • Registered Users Posts: 9,446 ✭✭✭TheChizler


    tessat wrote: »
    I'd consider myself good at maths but my head isn't able to work this out today.

    Can somebody work out how many unique 6 figure combinations can be made first 26 letter and 0-9 and then 18 letters and 0-9

    Many thanks

    36×28^5? Just under 620 million.


  • Registered Users Posts: 77 ✭✭tessat


    Oh 2 different calculations first 26 & 0-9
    Second 18 & 0-9


  • Registered Users Posts: 9,446 ✭✭✭TheChizler


    tessat wrote: »
    Oh 2 different calculations first 26 & 0-9
    Second 18 & 0-9
    You're going to have to explain a bit more what exactly you want.


  • Registered Users Posts: 77 ✭✭tessat


    I'm sorry, I'm trying to work out the difference in available combinations of 6 if using the Irish alphabet versus the English alphabet. So 26 characters in the English alphabet with 0-9 numbers is the first calculation.
    The second calculation is 18 characters in the Irish alphabet with 0-9

    Does that make sense?


  • Registered Users Posts: 619 ✭✭✭macnug


    Would it not be 36 to the power of 6 for the first and 28 to the power of 6 for the second???? Its been a while since of done looked at probability so I'm probably wrong.


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  • Registered Users Posts: 11,397 ✭✭✭✭Digital Solitude


    36x35x34x33x32x31= 1,402,410,240
    Almost 1.5 billion

    28x27x26x25x24x23= 271,252,800
    Less than 300 Million

    There are over 5 times as many using the English alphabet. Adding fadas to the Irish one would reduce the deficit somewhat.

    Is this correct?

    EDIT* Macnug has it right.

    Over 2 Billion in English, 2,176,782,336
    481,890,304 in Irish.

    My first method assumes no characters are repeated


  • Registered Users Posts: 9,446 ✭✭✭TheChizler


    tessat wrote: »
    I'm sorry, I'm trying to work out the difference in available combinations of 6 if using the Irish alphabet versus the English alphabet. So 26 characters in the English alphabet with 0-9 numbers is the first calculation.
    The second calculation is 18 characters in the Irish alphabet with 0-9

    Does that make sense?
    Ah I see, as macnug says above so, 36^6 versus 28^6.


  • Registered Users Posts: 41 ConM96


    Is there a specific amount of letters and numbers needed in each combination? I.e does the combination have to consist of one number and 5 letters?


  • Registered Users Posts: 9,446 ✭✭✭TheChizler


    36x35x34x33x32x31= 1,402,410,240
    Almost 1.5 billion

    28x27x26x25x24x23= 271,252,800
    Less than 300 Million

    There are over 5 times as many using the English alphabet. Adding fadas to the Irish one would reduce the deficit somewhat.

    Is this correct?

    EDIT* Macnug has it right.

    Over 2 Billion in English, 2,176,782,336
    481,890,304 in Irish.

    My first method assumes no characters are repeated
    Only if characters can't be reused. I don't think this is a restriction?

    Edit: You got the edit in just before I pressed reply!


  • Registered Users Posts: 11,397 ✭✭✭✭Digital Solitude


    TheChizler wrote: »
    Only if characters can't be reused. I don't think this is a restriction?

    I'v edited to allow for repeated characters


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  • Registered Users Posts: 1,358 ✭✭✭Aineoil


    The first one: a-z + 0-9 = 36 digits altogether. So...

    36*35*34*33*32*31/(6*5*4*3*2*1) = 6*7*17*11*8*31 = 1,947,792

    Is that right?


  • Registered Users Posts: 2,655 ✭✭✭draiochtanois


    This post has been deleted.


  • Registered Users Posts: 77 ✭✭tessat


    Not case sensitive
    Sorry for the delay coming back, thanks for replying


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