document.write( "Question 1100360: Subsets of 1,2,3,4,5,6 ?? \n" ); document.write( "

Algebra.Com's Answer #714834 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "The given set has 6 elements.\r\n" );
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document.write( "Hence, it has  sub-sets in all, including the empty subset and so named improper subset which contains all the elements of the original subset.\r\n" );
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document.write( "It is a general rule/theorem from the set theory:\r\n" );
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document.write( "    Any finite set consisting of n elements, has  subsets including the empty subset and \r\n" );
document.write( "    improper subset which contains all the elements of the original subset.\r\n" );
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document.write( "In your case the number os all subsets is  = 64,  and it is not simple task (for me, at least) to list them all.\r\n" );
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document.write( "But I can list some of them to get you an idea what is this:\r\n" );
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document.write( "{1}, {2}, . . . , {6},\r\n" );
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document.write( "{1,2}, {1,3}, . . . , {1,6}\r\n" );
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document.write( "{1,2,3}, . . . , {4,5,6}  \r\n" );
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document.write( "and so on . . . until the last IMPROPER subset \r\n" );
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document.write( "{1,2,3,4,5,6}.\r\n" );
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\n" ); document.write( "Comment from student: Please I want the 64 sets of the Subsets of 1,2,3,4,5,6
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\n" ); document.write( "\n" ); document.write( "My response: Why do not YOU make it on your own ?\r
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\n" ); document.write( "\n" ); document.write( "I will help you a bit by giving the path; you complete the paths everywhere.\r
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document.write( "1)  {}   empty set\r\n" );
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document.write( "2)  {1}, {2}, . . . , {6}          <<<---===  6 subsets consisting of 1 element each;\r\n" );
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document.write( "3)  {1,2}, {1,3}, . . . , {1,6},   <<<---===  15 subsets consisting of 2 elements each;\r\n" );
document.write( "           {2,3}, . . . , {2,6},   \r\n" );
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document.write( "    and so on \r\n" );
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document.write( "4)  {1,2,3}, . . . , {4,5,6},      <<<---===  20 subsets consisting of 3 elements each;\r\n" );
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document.write( "    and so on . . . \r\n" );
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document.write( "and so on . . . until the last IMPROPER subset \r\n" );
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document.write( "{1,2,3,4,5,6}.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Please REMEMBER: I am here NOT for doing your work instead of you.\r
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\n" ); document.write( "\n" ); document.write( "My goal is to teach you and to show you right direction.\r
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