document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=464107>Question 464107</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 7 young girls are to be seated in a row. Calculate the number of different ways in which this can be done if 2 particular girls, Ushna and Manood, have exactly 3 of the other girls between them.\r<BR>\n" );
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document.write( "*Note: I know that the answer is this: (5C3) x (3!) x (3!) x (2!), but I can't understand how I get that. Please please explain this question in as much detail as possible as I cannot understand this topic. Please answer as soon as possible :) =) &#21328; </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #317908 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=317908\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "To arrange them firstly find the number of ways to select 3 girls that will <BR>\n" );
document.write( "between Ushna and Manood. \r<BR>\n" );
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document.write( "number of ways = 5C3  \r<BR>\n" );
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document.write( "( select 3 girls out of 5 girls i.e except Ushna and Manood from total 7)\r<BR>\n" );
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document.write( "number of ways to arrange these 3 girls = 3!\r<BR>\n" );
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document.write( "number of ways to arrange ( 2 other girls + Ushna & Manood) = 3!\r<BR>\n" );
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document.write( "i.e  here Ushna & Manood is single entity.\r<BR>\n" );
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document.write( "number of ways to arrange Ushna & Manood on their position = 2!\r<BR>\n" );
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document.write( "i.e only interchange of their position.\r<BR>\n" );
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document.write( "required number of ways = (5C3) x (3!) x (3!) x (2!)\r<BR>\n" );
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document.write( "If any doubt, you are welcome to get free help online: sudhanshu.cochin@gmail.com\r<BR>\n" );
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document.write( " </SPAN>\n" );
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