document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167319>Question 167319</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Robert has 4 red flags, 3 blue flags, and 2 white flags.  How many 9-flag signals can he run up a flagpole? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123236 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=123236\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Robert has 4 red flags, 3 blue flags, and 2 white flags.  How many 9-flag signals can he run up a flagpole?<BR>\n" );
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document.write( "The problem is the same as \"the number of words you could form with 4 R's,<BR>\n" );
document.write( "3 B's and 2 W's\". If all the letters were different the answer would 9!;<BR>\n" );
document.write( "but sice the 4 red flags are indistinguishable the number of distinct words<BR>\n" );
document.write( "is reduced by a factor of 4!.  The same is true for the 3 blue flags and<BR>\n" );
document.write( "also for the 2 white flags.<BR>\n" );
document.write( "Hope this helps.<BR>\n" );
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document.write( "9!/(4!*3!*2!) = 362880/(24*6*2) = 1260<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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