document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248523>Question 248523</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me answer this word problem: If Mrs. Smith takes her class of 12 students to the theater. They sit in the front row where there is exactly twelve seats. There are 9 girls and 3 boys. How many different ways can they be seated if the boys cannot sit next to eachother. Solve both independently and dependently. \r<BR>\n" );
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document.write( "I am not sure how to begin this problem.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181131 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=181131\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please help me answer this word problem:  Mrs. Smith takes her class of 12 students to the theater. <BR>\n" );
document.write( "They sit in the front row where there is exactly twelve seats. <BR>\n" );
document.write( "There are 9 girls and 3 boys. <BR>\n" );
document.write( "How many different ways can they be seated if the boys cannot sit next to each other. <BR>\n" );
document.write( "Solve both independently and dependently. <BR>\n" );
document.write( "I am not sure how to begin this problem.<BR>\n" );
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document.write( "There are 12C3 ways to place the boys without restriction.<BR>\n" );
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document.write( "There are 2*9 ways to place the boys if they all sit together.<BR>\n" );
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document.write( "If 2 boys sat together there would be 9 ways to place the 3rd<BR>\n" );
document.write( "boy without the 3 sitting together. And 2 boys can sit together<BR>\n" );
document.write( "in 11 ways. So there are 11*9 ways of having a 2 boy/1boy split.<BR>\n" );
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document.write( "Your Problem:<BR>\n" );
document.write( "If no boys can sit next to one another: 12C3-18-99 = 220-117 = 103 ways<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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