document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1156752>Question 1156752</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many ways can you arrange the letters of the word MAMMALIA provided no vowels are put together. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #779521 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=779521\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "There are 4 vowels and 4 consonants; if the vowels can't be together, then the arrangement must have alternating vowels and consonants; either a vowel or a consonant can be first.<br><BR>\n" );
document.write( "The 4 vowels are AAAI.  The number of ways to arrange those vowels is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%21%2F3%21+=+4 ALIGN=MIDDLE  ALT=\"4%21%2F3%21+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "The 4 consonants are LMMM.  The number of ways to arrange those consonants is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%21%2F3%21+=+4 ALIGN=MIDDLE  ALT=\"4%21%2F3%21+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "4 ways to arrange the vowels; 4 ways to arrange the consonants; and 2 ways to choose whether the first letter is a vowel or a consonant means 4*4*2=32 different arrangements.<br><BR>\n" );
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