document.write( "Question 1117962: In how many ways can a teacher choose one or more students from 6 eligible students? \n" ); document.write( "
Algebra.Com's Answer #733149 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "The number of ways to select one or more students from 6 students is equal to the number of non-empty subsets in the set of 6 students.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is very well known fact that the set of N elements has  \"2%5EN\" subsets, including an/the empty subset and the improper subset.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In your case, N = 6 and the emty subset is excluded, so the number under the question is  \"2%5E6-1\" = 64-1 = 63.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------
\n" ); document.write( "For discussion and the proof of this fact see the lesson\r
\n" ); document.write( "\n" ); document.write( "    - How many subsets are there in a given finite set of n elements?\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );