document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=364468>Question 364468</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mrs. Garson received 3 new students. There are a total of 210 different ways they could sit. How many seats are available for them to sit in? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #259934 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=259934\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the total no. of seat = x\r<BR>\n" );
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document.write( "then no. of ways by which 3 people can sit is  xP3 = 210  ( x permutation 3)\r<BR>\n" );
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document.write( "=> x!/(x-3)! = 210\r<BR>\n" );
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document.write( "=>x*(x-1)*(x-2) = 210 \r<BR>\n" );
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document.write( "=> x* (x-1) *(x-2) = 2 * 3 * 5 *7                  by factorizing 210\r<BR>\n" );
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document.write( " =>x*(x-1)*(x-2) = 7*6*5\r<BR>\n" );
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document.write( "so, value of x is 7.\r<BR>\n" );
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document.write( "no. of seats = 7\r<BR>\n" );
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document.write( " </SPAN>\n" );
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