document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63762>Question 63762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This was an extra credit question that nobody knew how to answer.  We have not covered permutations and could find nothing about it our books.  Please help:\r<BR>\n" );
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document.write( "How many permutations of the word PRODUCT  are there, if all the letters are used without repetition. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44454 by </B><A HREF=/tutors/aboutme.mpl?userid=joyofmath><B>joyofmath(189)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=joyofmath><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=44454\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <b>How many permutations of the word PRODUCT  are there, if all the letters are used without repetition.</b><BR>\n" );
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document.write( "There are 7*6*5*4*3*2*1 = 5040 permutations of the letters in PRODUCT. Here's why:\r<BR>\n" );
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document.write( "There are 7 ways to pick the first letter, 6 ways to pick the second letter since one letter is already picked, 5 ways to pick the third letter, and so on.\r<BR>\n" );
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document.write( "By the way, 7*6*5*4*3*2*1 is written as 7! and called 7 factorial. </SPAN>\n" );
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