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Possible combinations of numbers?

  1. Dec 17, 2014 #1
    1. The problem statement, all variables and given/known data
    Assuming 10 people pick a number between 1-120 and no two numbers can be the same, how many combinations of numbers can their be?


    2. Relevant equations
    C=N^s

    3. The attempt at a solution
    So I know the total possible for 120 would be just 120^10, but if I want to solve for the numbers never repeating in a sequence I'm not sure how.
     
  2. jcsd
  3. Dec 17, 2014 #2

    ShayanJ

    User Avatar
    Gold Member

    The first guy picks one number from 1 to 120. So he has 120 choices. But the second guy has 119 choices because one number is taken by the first guy. Similarly the third guy has 118 choices. And so on.
     
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