document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129659>Question 129659</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Laura is training for a week-long mountain cycling tour.  She has 12 short hilly routes from which to choose mid-week rides.  <BR>\n" );
document.write( "	a)  How many ways can she choose 4 different rides from the list for the first week's training if order matters?<BR>\n" );
document.write( "	b)  How many ways can she choose 4 different rides if order does not matter?<BR>\n" );
document.write( "	c)  If she has chosen the first weeks rides, how many ways can she choose four more different rides for the second week?  Assume that order does not matter<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94673 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=94673\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Laura is training for a week-long mountain cycling tour. She has 12 short hilly routes from which to choose mid-week rides. <BR>\n" );
document.write( "a) How many ways can she choose 4 different rides from the list for the first week's training if order matters?<BR>\n" );
document.write( "Ans: 12!/(12-4)! = 12*11*10*9 = 11800<BR>\n" );
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document.write( "b) How many ways can she choose 4 different rides if order does not matter?<BR>\n" );
document.write( "Ans: 12C4 = [12*11*10*9]/[1*2*3*4] = 495<BR>\n" );
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document.write( "c) If she has chosen the first weeks rides, how many ways can she choose four more different rides for the second week? Assume that order does not matter<BR>\n" );
document.write( "Ans: 11C4 = 330<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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