document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105467>Question 1105467</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Five boxes are to be arranged on a shelf, but there is only enough space for three books. In how many ways can these books be arranged on the shelf?\r<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 #720316 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=720316\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\"><BR>\n" );
document.write( "I think you meant to write \"books\" instead of \"boxes\". \r<BR>\n" );
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document.write( "We have five books but only enough space for three of them. \r<BR>\n" );
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document.write( "Label the three empty spaces as<BR>\n" );
document.write( "Slot A<BR>\n" );
document.write( "Slot B<BR>\n" );
document.write( "Slot C\r<BR>\n" );
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document.write( "There are 5 choices for slot A.<BR>\n" );
document.write( "After you've picked a book to go into slot A, there are 5-1 = 4 choices for slot B since you cannot have a book occupy more than one slot at a time.<BR>\n" );
document.write( "For slot C, there are 3 choices left.\r<BR>\n" );
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document.write( "So have 5*4*3 = 20*3 = 60 different permutations.\r<BR>\n" );
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document.write( "If you wish to use a formula, then you can use the nPr formula<BR>\n" );
document.write( "nPr = (n!)/(n-r)!<BR>\n" );
document.write( "where you plug in n = 5 and r = 3 to get the same result of 60\r<BR>\n" );
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document.write( "Answer: 60<BR>\n" );
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