document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=396177>Question 396177</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A group consisting of 3 boys and 2 girls is to line-up in a row for a photograph. In how many<BR>\n" );
document.write( "ways may this be done assuming that<BR>\n" );
document.write( "(a) there are no restrictions?<BR>\n" );
document.write( "(b) the boys and the girls are each to stand together?<BR>\n" );
document.write( "(c) only the two girls are to stand together?<BR>\n" );
document.write( "(d) Rachel and Jonathan must not stand together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #281151 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=281151\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) \r<BR>\n" );
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document.write( "no. of ways to arrange 5 persons if no restrictions = 5! = 120\r<BR>\n" );
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document.write( "b) <BR>\n" );
document.write( "no. of ways to arrange 3 boys together = 3! = 6\r<BR>\n" );
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document.write( "no. of ways to arrange 2 girls together= 2! = 2\r<BR>\n" );
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document.write( "no. of ways to arrange boys and girls together in a row = 6 * 2 * 2 = 24<BR>\n" );
document.write( "( as group of boys and group of girls can also arrange by 2 ways )\r<BR>\n" );
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document.write( "C)<BR>\n" );
document.write( "no. of ways when 2 girls are together = 4! * 2! = 48<BR>\n" );
document.write( "(assume 2 girls as a single person, then total 4 persons)\r<BR>\n" );
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document.write( "d)<BR>\n" );
document.write( "no. of ways when Rachel and Jonathan are together = 4! * 2! = 48\r<BR>\n" );
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document.write( " no. of ways when both are not together =  total no. of ways  - 48 \r<BR>\n" );
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document.write( "= 120 - 48 \r<BR>\n" );
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document.write( "= 72 \r<BR>\n" );
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document.write( "if any problem related to understand the concept, you are welcome to contact...<BR>\n" );
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