document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192253>Question 1192253</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A program is planned to have 4 musical numbers and 4 speeches. In how many ways can this be done if a musical number and a speech are to alternate and a musical number is to come​ first? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824167 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=824167\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Consider 8 slots labeled as such<BR>\n" );
document.write( "A,B,C,D<BR>\n" );
document.write( "E,F,G,H\r<BR>\n" );
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document.write( "Then consider that the odd number slots A,C,E,G are for the musical numbers; while the even number slots B,D,F,H are for the speeches.\r<BR>\n" );
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document.write( "We have 4*3*2*1 = 24 ways to arrange the four musical numbers for slots A,C,E,G<BR>\n" );
document.write( "Similarly, there are 4*3*2*1 = 24 ways to arrange the four speeches for slots B,D,F,H\r<BR>\n" );
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document.write( "The way I've set things up, we are guaranteed to have the order be musical number, speech, musical number, etc. \r<BR>\n" );
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document.write( "Overall, there are 24*24 = 576 ways to arrange all 8 items in this alternating pattern.\r<BR>\n" );
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document.write( "Answer: 576<BR>\n" );
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