document.write( "Question 1084185: Please list down all the possible subset of A={1,2,3} \n" ); document.write( "
Algebra.Com's Answer #698255 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
your set is {1,2,3}\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "one possible subset is {1,2,3}\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "that is called an improper subset.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "in general, every set is an improper subset of itself.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the other possible subsets are:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "{1}
\n" ); document.write( "{2}
\n" ); document.write( "{3}
\n" ); document.write( "{1,2}
\n" ); document.write( "{1,3}
\n" ); document.write( "{2,3}\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "they are called proper subsets because the super set {1,2,3} contains at least 1 element that is not within the sub set.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "therefore, all possible subsets of {1,2,3} are:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "{1}
\n" ); document.write( "{2}
\n" ); document.write( "{3}
\n" ); document.write( "{1,2}
\n" ); document.write( "{1,3}
\n" ); document.write( "{2,3}
\n" ); document.write( "{1,2,3}\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "they include all proper subsets plus the improper subset of {1,2,3}.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );