document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=410825>Question 410825</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The number of combinations of 2 objects from 'n' is equal to the number of combinations of 3 objects from 'n'. Determine 'n'. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #288894 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=288894\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Here nC2 = nC3\r<BR>\n" );
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document.write( "=> n!/ 2! * (n-2)! = n!/3!* (n-3)!\r<BR>\n" );
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document.write( "here nominators are same so, compare denominators \r<BR>\n" );
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document.write( "2! * (n-2)! = 3! * (n-3)! \r<BR>\n" );
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document.write( "=>  (n-2) = 3            [ because  (n-2)! = (n-2)* (n-3)!   and  3! = 3* 2! ]\r<BR>\n" );
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document.write( "=> n = 3+2 = 5 \r<BR>\n" );
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document.write( "n =5 \r<BR>\n" );
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document.write( " </SPAN>\n" );
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