document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=17407>Question 17407</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many four letter words can be formed with the word MANAGEMENT?<BR>\n" );
document.write( "In the question use the technique where order matters. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363274 by </B><A HREF=/tutors/aboutme.mpl?userid=crazymaths><B>crazymaths(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=crazymaths><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=363274\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:-How many four letter words can be formed with the word MANAGEMENT?\r<BR>\n" );
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document.write( "In the question use the technique where order matters.\r<BR>\n" );
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document.write( "This is an example of Distinct Permutation.\r<BR>\n" );
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document.write( "Ok, the word \"MANAGEMENT' contains of 8vowels and 2consonants.\r<BR>\n" );
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document.write( "The letters repeating are \"A\" = 2 times, \"M\" = 2 times,  \"N\" = 2 times, \"E\" = 2 times.\r<BR>\n" );
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document.write( "Conditions taken into account for solving :-\r<BR>\n" );
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document.write( "1> If repetition is allowed, then\r<BR>\n" );
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document.write( "     10 P 4 --------------> As four letter word is to be formed by 10 letter word<BR>\n" );
document.write( "     Which is 10*9*8*7=5040<BR>\n" );
document.write( "    Answer 1:- 5040 -----> If  repetition is allowed.\r<BR>\n" );
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document.write( "2> If repetition is NOT allowed, then\r<BR>\n" );
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document.write( "     10 P 4 / 2! * 2! * 2! *2! ----------> Eliminating the repeating elements,  A, M, N & E respectively<BR>\n" );
document.write( "     (2! = 2*1) E.g (5!=5*4*3*2*1) So (2!*2!*2!*2!=2*1 *2*1 *2*1 *2*1 = 16)<BR>\n" );
document.write( "     Therefore,  5040/16\r<BR>\n" );
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document.write( "    Answer 2:- 315-----> If  repetition is now allowed.\r<BR>\n" );
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document.write( "Therefore. there are 315 four letter words that can be formed by letter \"M A N A G E M E N T '.<BR>\n" );
document.write( "Crazymaths,<BR>\n" );
document.write( "Cheers, hope this helps you !!!!!!!!!!!!! </SPAN>\n" );
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