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Math Help - i need ten numbers, where no matter how you combine them, no two combinations....

  1. #1
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    i need ten numbers, where no matter how you combine them, no two combinations....

    i need ten numbers, where no matter how you combine them, no two combinations will produce the same result. for instance,
    a
    b
    c
    d
    e
    f
    g
    h
    i
    j
    a+b = x =/= a+c, a+d, a+c+d, etc.
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: i need ten numbers, where no matter how you combine them, no two combinations....

    Try:

    1, 2, 4, 8, 16, 32, 64, 128, 256, 512
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  3. #3
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    Re: i need ten numbers, where no matter how you combine them, no two combinations....

    Thank you. now i have to find all possible combinations of that set. lol fml
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  4. #4
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    Re: i need ten numbers, where no matter how you combine them, no two combinations....

    Quote Originally Posted by tyler91392 View Post
    Thank you. now i have to find all possible combinations of that set. lol fml
    Every combination is unique because each combination corresponds to a binary number, which can be converted to base 10. It turns out that any integer from 1 to 1023 inclusive can be made by summing some subset of {1,2,4,...,512}.
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