document.write( "Question 387786: How many subsets does the set {A,B,C,D,E} have?
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Algebra.Com's Answer #274809 by richard1234(7193)![]() ![]() You can put this solution on YOUR website! For any subset S, we can choose which elements belong in S. This means:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A is in S or A is not in S \n" ); document.write( "B is in S or B is not in S \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "E is in S or E is not in S\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Each case has 2 possibilities, so the total number of subsets (including the empty set and {A,B,C,D,E}) is 2^5, or 32. \n" ); document.write( " |