document.write( "Question 823136: Assume that the set S has 13 elements.\r
\n" ); document.write( "\n" ); document.write( "How many subsets of S have at most 3 elements? \n" ); document.write( "
Algebra.Com's Answer #495292 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "The number of subsets which have 0 elements is C(13,0) = 1, the empty set.\r\n" );
document.write( "The number of subsets which have exactly 1 element is C(13,1) = 13.\r\n" );
document.write( "The number of subsets which have exactly 2 elements is C(13,2) = 78.\r\n" );
document.write( "The number of subsets which have exactly 3 elements is C(13,1) = 286.\r\n" );
document.write( "\r\n" );
document.write( "Total: 1+13+78+286 = 378 subsets have at most 3 elements.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );