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

• Oct 1st 2012, 12:43 PM
tyler91392
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.
• Oct 1st 2012, 12:49 PM
MarkFL
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
• Oct 1st 2012, 01:12 PM
tyler91392
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
• Oct 1st 2012, 03:04 PM
richard1234
Re: i need ten numbers, where no matter how you combine them, no two combinations....
Quote:

Originally Posted by tyler91392
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}.