document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=765392>Question 765392</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Set A= {1,3,2,5}<BR>\n" );
document.write( " Set B= {2,4,6}<BR>\n" );
document.write( " Set C= {1,3,5}\r<BR>\n" );
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document.write( " 9. How many subsets does A U(union)parenthesis B U(union) C close parenthesis have?<BR>\n" );
document.write( "   A) 2<BR>\n" );
document.write( "   B) 4<BR>\n" );
document.write( "   C) 16<BR>\n" );
document.write( "   D) 32<BR>\n" );
document.write( "   E) 64\r<BR>\n" );
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document.write( " 10. which set is not a subset of A U(union) C?<BR>\n" );
document.write( "   A) { }<BR>\n" );
document.write( "   B) A<BR>\n" );
document.write( "   C) C<BR>\n" );
document.write( "   D) {4}<BR>\n" );
document.write( "   E) {1,2,5} </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #466123 by </B><A HREF=/tutors/aboutme.mpl?userid=ramkikk66><B>ramkikk66(644)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ramkikk66><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=466123\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Set A= {1,3,2,5}<BR>\n" );
document.write( " Set B= {2,4,6}<BR>\n" );
document.write( " Set C= {1,3,5}\r<BR>\n" );
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document.write( "AUBUC = {1,2,3,4,5,6} - 6 elements\r<BR>\n" );
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document.write( "How many subsets does this have?<BR>\n" );
document.write( "No. of 1-element subsets = C(6,1) = 6<BR>\n" );
document.write( "No. of 2-element subsets = C(6,2) = 6*5/(1*2) = 15<BR>\n" );
document.write( "No. of 3-element subsets = C(6,3) = (6*5*4)/(1*2*3) = 20<BR>\n" );
document.write( "No. of 4-element subsets = C(6,4) = C(6,2) = 15<BR>\n" );
document.write( "No. of 5-element subsets = C(6,5) = C(6,1) = 6<BR>\n" );
document.write( "No. of 6-element subsets = C(6,6) = 1<BR>\n" );
document.write( "Null subset {} = 1\r<BR>\n" );
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document.write( "So the total number of subsets = 64<BR>\n" );
document.write( "(In general, number of subsets of a set with n elements = 2^n)\r<BR>\n" );
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document.write( "b) which set is not a subset of A U(union) C?\r<BR>\n" );
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document.write( "AUC = {1,2,3,5}\r<BR>\n" );
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document.write( "Clearly the answer is (D) i.e. {4} since 4 is not an element of AUC.\r<BR>\n" );
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document.write( ":) </SPAN>\n" );
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