document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1110068>Question 1110068</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I need help to solve the problem.<BR>\n" );
document.write( "A school dance committee is made up of 3 freshman, 2 sophomores, 3 juniors, and 3 seniors.\r<BR>\n" );
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document.write( "How many ways are there to sit the committee in a row at a meeting if the students must sit together by grade? \r<BR>\n" );
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document.write( "How many ways are there to sit the committee in a row at a meeting if the freshman,sophomores, and juniors must sit by grade, but the seniors can sit wherever they want?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #725078 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=725078\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, I need help to solve the problem.<BR>\n" );
document.write( "A school dance committee is made up of 3 freshman, 2 sophomores, 3 juniors, and 3 seniors. <BR>\n" );
document.write( "How many ways are there to sit the committee in a row at a meeting if the students must sit together by grade?<BR>\n" );
document.write( "group arrangements:: 4! = 24 ways<BR>\n" );
document.write( "within group arrangements:: 3!*2!*3!*3! = 6*2*6*6 = 432<BR>\n" );
document.write( "Ans: 24*432 = 10368 ways\r<BR>\n" );
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document.write( "How many ways are there to sit the committee in a row at a meeting if the freshman,sophomores, and juniors must sit by grade, but the seniors can sit wherever they want?<BR>\n" );
document.write( "grade 3! = 6<BR>\n" );
document.write( "group arrangements:: 3!*2!*3! = 6*2*6 = 72<BR>\n" );
document.write( "seniors filling 7 in-between positions plus 2 end positions<BR>\n" );
document.write( "add 3!*10C3 = 6*120<BR>\n" );
document.write( "Ans: 6*6*120 = 4320<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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