document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=331634>Question 331634</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many different arrangements of the letters of word \"Doodle\" are possible? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #237742 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=237742\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I assume that D and d are the same (ie not distinguishable because of capitalization)\r<BR>\n" );
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document.write( "there are 6 letters and these letters can be arranged in 6! different ways\r<BR>\n" );
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document.write( "6!=720\r<BR>\n" );
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document.write( "but...... there are 2 \"d\"s and 2 \"o\"s which are indistinguishable <BR>\n" );
document.write( "some of these arrangements will be the same  and wil need to be accounted for<BR>\n" );
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document.write( "So the answer is 6!/(2!*2!) = 180 different arrangements.<BR>\n" );
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