document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=32283>Question 32283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many 26-letter arrangemenst of the alphabet have no two vowels together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #18826 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=18826\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> PLACE 21 CONSONANTS FIRST..THESE CAN BE ARRANGED IN<BR>\n" );
document.write( "21P21 WAYS=21!WAYS<BR>\n" );
document.write( "THEY HAVE 20 INTERSPACES AND 2 OUTER SPACES,WHERE WE CAN KEEP THE OWELS SO THAT THEY NEVER COME TOGETHER AND ALWAYS SEPERATED BY A CONSONANT.<BR>\n" );
document.write( "IN 22 SPACES , 5 VOWELS CAN BE ARRANGED IN 22P5 WAYS=22!/(22-5)!=21!/17!<BR>\n" );
document.write( "SO TOTAL NUMBER OF ARRANGEMENTS = 21!*22!/17! </SPAN>\n" );
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