document.write( "Question 892685: consider the set A={a,b,c,d,e,f,g,h}. find the number of subsets of A which contain atleast 6 elements and include 'c' and 'e'. \n" ); document.write( "

Algebra.Com's Answer #540708 by Edwin McCravy(20055) $\"\"$ $\"About$

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document.write( "Case 1:  {c,e,_,_,_,_}\r\n" );
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document.write( "Choose 4 letters to go in the 4 blanks from the 6 letters\r\n" );
document.write( "{a,b,d,f,g,h}.  That C(6,4) = 15 ways.\r\n" );
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document.write( "Case 2:  {c,e,_,_,_,_._}\r\n" );
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document.write( "Choose 5 letters to go in the 5 blanks from the 6 letters\r\n" );
document.write( "{a,b,d,f,g,h}.  That C(6,5) = 6 ways.\r\n" );
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document.write( "Case 3:  {c,e,a,b,d,f,g,h}, (the whole set).\r\n" );
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document.write( "That's 1 way.\r\n" );
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document.write( "Answer 15+6+1 = 22 ways\r\n" );
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document.write( "Edwin

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