document.write( "Question 1084800: what is the proper subsets for 4,6,8,9,10 \n" ); document.write( "
Algebra.Com's Answer #698863 by Edwin McCravy(20056)\"\" \"About 
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document.write( "{4,6,8,9,10} has 5 elements, so there are 25 = 32 subsets.  \r\n" );
document.write( "But that includes the set itself, which not a proper subset,\r\n" );
document.write( "so there are 31 proper subsets.\r\n" );
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document.write( " 1. { }     <-- the empty subset, also written as Ø, considered proper\r\n" );
document.write( " 2. {4}\r\n" );
document.write( " 3. {6}\r\n" );
document.write( " 4. {8}\r\n" );
document.write( " 5. {9}\r\n" );
document.write( " 6. {10}\r\n" );
document.write( " 7. {4,6}\r\n" );
document.write( " 8. {4,8}\r\n" );
document.write( " 9. {4,9}\r\n" );
document.write( "10. {4,10}\r\n" );
document.write( "11. {6,8}\r\n" );
document.write( "12. {6,9}\r\n" );
document.write( "13. {6,10}\r\n" );
document.write( "14. {8,9}\r\n" );
document.write( "15. {8,10}\r\n" );
document.write( "16. {9,10}\r\n" );
document.write( "17. {4,6,8}\r\n" );
document.write( "18. {4,6,9}\r\n" );
document.write( "19. {4,6,10}\r\n" );
document.write( "20. {4,8,9}\r\n" );
document.write( "21. {4,8,10}\r\n" );
document.write( "22. {4,9,10}\r\n" );
document.write( "23. {6,8,9}\r\n" );
document.write( "24. {6,8,10}\r\n" );
document.write( "25. {6,9,10}\r\n" );
document.write( "26. {8,9,10}\r\n" );
document.write( "27. {4,6,8,9}\r\n" );
document.write( "28. {4,6,8,10}\r\n" );
document.write( "29. {4,6,9,10}\r\n" );
document.write( "30. {4,8,9,10}\r\n" );
document.write( "31. {6,8,9,10}\r\n" );
document.write( "32. {4,6,8,9,10}  <--this is the only improper subset.\r\n" );
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document.write( "There are 31 proper subsets.\r\n" );
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document.write( "Edwin

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