Question 1149518
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The question is equivalent to asking how many non-empty subsets there are of a set with 10 elements.<br>
The number of subsets of a set with n elements, including the empty set, is 2^n; and obviously there is only 1 empty subset.  So<br>
ANSWER: 2^10-1 = 1023<br>
You can also look at finding the answer as<br>
C(10,1)+C(10,2)+...+C(10,9)+C(10,10) = 2^10 - C(10,0) = 2^10-1 = 1023<br>