document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200100>Question 200100</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A specific brand of bike comes in two frames, for males or females.  Each frame comes in a choice of three colors, red, white and blue, and with a choice of three seats, soft, medium, and hard.<BR>\n" );
document.write( "a) Use the counting principal to determine the number of different arrangements of bicycles that are possible.<BR>\n" );
document.write( "b) Construct a tree diagram illustrating all the different arrangements of bicycles that are possible.<BR>\n" );
document.write( "c) List the sample space.<BR>\n" );
document.write( "Thank you for your help, I'm about to give up! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150431 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=150431\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I assume that there are only 2 frames to choose between.<BR>\n" );
document.write( "There are 3 permutations which must be multiplied.<BR>\n" );
document.write( "2!*3!*3!<BR>\n" );
document.write( "=2*3*2*3*2<BR>\n" );
document.write( "=72 different arrangements<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now that you know the answer making the tree diagram should be easier.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );