document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=333411>Question 333411</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the number of ways in which an arrangement of of 4 letters can be made from the word MATHEMATICS<BR>\n" );
document.write( "a)1680<BR>\n" );
document.write( "b)756<BR>\n" );
document.write( "c)18<BR>\n" );
document.write( "d)2454 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #238927 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=238927\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> while the word MATHEMATICS has 11 words, there are really only 8 unique words<BR>\n" );
document.write( "M, A and T are duplicated.<BR>\n" );
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document.write( "So, your problem becomes number of arrangements of 4 letters from a word of 8 unique letters<BR>\n" );
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document.write( "there are 8 choices for the first word<BR>\n" );
document.write( "there are then 7 choices for the second word<BR>\n" );
document.write( "after that there are 6 choices for the third word<BR>\n" );
document.write( "and finally there are 5 choices for the fourth word\r<BR>\n" );
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document.write( "8*7*6*5=1680 </SPAN>\n" );
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