document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=396688>Question 396688</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. how many different ways can the letters \"SIMILAR\" be arranged if letter \"I\" must be first letter?\r<BR>\n" );
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document.write( "2. how many different ways can the letters \"TRIGONOMETRY\" be arranged if a vowel must be first letter? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #281362 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=281362\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "1. there are total 7 letters, letter I is two times..\r<BR>\n" );
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document.write( " after putting the I on first place we have remaining 6 letters i.e   SMILAR\r<BR>\n" );
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document.write( " total no. of ways to arrange 6 letters = 6! = 720\r<BR>\n" );
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document.write( "2.<BR>\n" );
document.write( "here 3 vowels, i.e  I, O and E . after putting vowel of first place we have remaining 11 letters..\r<BR>\n" );
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document.write( "when I on first place , number of ways = 11!/( 2! * 2! * 2!) = 4989600\r<BR>\n" );
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document.write( "when O on first place, number of ways = 11! / ( 2! * 2!) = 9979200\r<BR>\n" );
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document.write( "when E on first place, number of ways = 11!/( 2! * 2! * 2!) = 4989600\r<BR>\n" );
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document.write( "total no. of ways = 19958400\r<BR>\n" );
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document.write( " </SPAN>\n" );
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