document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189000>Question 1189000</A>: <I><SPAN STYLE=\"word-break: break-all;\"> State the number of subsets of {p,q,r,s}. Explain the answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820209 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=820209\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The solution from the other tutor shows a link to where you can see a demonstration, using combinatorics, of why a set of n elements has 2^n subsets.<br><BR>\n" );
document.write( "A much simpler demonstration of that fact is the following:<br><BR>\n" );
document.write( "In making a subset from a set containing n elements, you look at each element and decide whether or not to include that element in your subset.  There are 2 choices to the answer to that question for each of the n elements, making the number of different subsets 2^n.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );