document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201594>Question 201594</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In how many ways can letter of the word BALLOON be arranged so that the two Ls do not come together. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151910 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=151910\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In how many ways can letter of the word BALLOON be arranged so that the two Ls do not come together<BR>\n" );
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document.write( "Total # of arrangements: 7!/[2!*2*]<BR>\n" );
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document.write( "Total # of arrangements with the LL together: <BR>\n" );
document.write( "Note: this means the LL is like one letter.<BR>\n" );
document.write( "# = 6!/2!<BR>\n" );
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document.write( "Therefore, total number with the LL NOT together:<BR>\n" );
document.write( "7!/(2!*2!) - 6!/2! = 1260 - 360 = 900<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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