document.write( "Question 1149518: Find how many groups of one or more digits can be formed from the following digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 if repetition is not allowed \n" ); document.write( "

Algebra.Com's Answer #770846 by greenestamps(13198) $\"\"$ $\"About$

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\n" ); document.write( "The question is equivalent to asking how many non-empty subsets there are of a set with 10 elements.

\n" ); document.write( "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

\n" ); document.write( "ANSWER: 2^10-1 = 1023

\n" ); document.write( "You can also look at finding the answer as

\n" ); document.write( "C(10,1)+C(10,2)+...+C(10,9)+C(10,10) = 2^10 - C(10,0) = 2^10-1 = 1023

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