document.write( "Question 618406: List all the subcet of {11,12,13,14} \n" ); document.write( "
Algebra.Com's Answer #388873 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "There are 2^4 or 16 of them since there are 4 elements.\r\n" ); document.write( "\r\n" ); document.write( "{} The empty set, has 0 elements\r\n" ); document.write( "{11}\r\n" ); document.write( "{12} These 4 have just 1 element, they are called \"singletons\"\r\n" ); document.write( "{13}\r\n" ); document.write( "(14)\r\n" ); document.write( "{11,12}\r\n" ); document.write( "{11,13}\r\n" ); document.write( "{11,14} These 6 have 2 elements\r\n" ); document.write( "{12,13}\r\n" ); document.write( "{12,14}\r\n" ); document.write( "{13,14}\r\n" ); document.write( "{11,12,13}\r\n" ); document.write( "{11,12,14} These 4 have 3 elements\r\n" ); document.write( "{11,13,14}\r\n" ); document.write( "{12,13,14}\r\n" ); document.write( "{11,12,13,14} This 1 has all four elements. It is not considered a\r\n" ); document.write( " PROPER subset, since it is the WHOLE, not really deserving\r\n" ); document.write( " of the prefix \"sub\" but it is considered a subset anyway.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |