document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=221650>Question 221650</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This problem stumps me..can u please explain how to work it??\r<BR>\n" );
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document.write( "The producer of All Things Considered, a radio-news program on NPR, has 4 in-depth and 8 short news stories for broadcast during the next two hours.  The producer must arrange the in-depth and short stories by starting with an in-depth story followed by two short stories, and then another in-depth story and two short stories until all 12 stories have been aired.  How many arrangements for the broadcast are possible? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #166209 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=166209\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The producer of All Things Considered, a radio-news program on NPR, has 4 in-depth and 8 short news stories for broadcast during the next two hours. \r<BR>\n" );
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document.write( "The producer must arrange the in-depth and short stories by starting with an in-depth story followed by two short stories, and then another in-depth story and two short stories until all 12 stories have been aired. \r<BR>\n" );
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document.write( "How many arrangements for the broadcast are possible?<BR>\n" );
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document.write( "1st segment: 4 ways<BR>\n" );
document.write( "2nd/3rd segment: 8*7 ways<BR>\n" );
document.write( "4th segment: 3 ways<BR>\n" );
document.write( "5th/6th segment: 6*5 ways<BR>\n" );
document.write( "7th: 2 ways<BR>\n" );
document.write( "8th/9th segment: 4*3 ways<BR>\n" );
document.write( "10th: 1 way<BR>\n" );
document.write( "11th/12th: segment: 2*1<BR>\n" );
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document.write( "Total # of ways: 4!*8! = 967680<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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