document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1096479>Question 1096479</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A director of a music video show wishes to play 4 rap videos and 3 R&B videos. He has 10 rap and 5 R&B videos to choose from. <BR>\n" );
document.write( "If we consider the order in which the videos are played, how many different line-ups can the show have?\r<BR>\n" );
document.write( "\n" );
document.write( "Note that no video can be used more than once. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #710915 by </B><A HREF=/tutors/aboutme.mpl?userid=sandeepvijay><B>sandeepvijay(8)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sandeepvijay><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=710915\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4 rap videos can be selected in 10C4 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%21%2F%286%21%2A4%21%29 ALIGN=MIDDLE  ALT=\"10%21%2F%286%21%2A4%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ways\r<BR>\n" );
document.write( "\n" );
document.write( "3 R&B videos can be selected in 5C3 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%21%2F%282%21%2A3%21%29 ALIGN=MIDDLE  ALT=\"5%21%2F%282%21%2A3%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ways\r<BR>\n" );
document.write( "\n" );
document.write( "Selected videos can be arranged in 7! ways\r<BR>\n" );
document.write( "\n" );
document.write( "Therefore, number of arrangements = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%21%2F%286%21%2A4%21%29+%2A+5%21%2F%282%21%2A3%21%29+%2A+7%21+=+50400 ALIGN=MIDDLE  ALT=\"10%21%2F%286%21%2A4%21%29+%2A+5%21%2F%282%21%2A3%21%29+%2A+7%21+=+50400\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );