document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1024646>Question 1024646</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In how many ways can the letters of the word 'PROBABILITY' be arranged if<BR>\n" );
document.write( "1)it begins with 'I'<BR>\n" );
document.write( "2)it must start with a consonant and end witg a vowel<BR>\n" );
document.write( "3)'A' must be exactly in the middle<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #640053 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=640053\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  In how many ways can the letters of the word 'PROBABILITY' be arranged if<BR>\n" );
document.write( "1)it begins with 'I'<BR>\n" );
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document.write( "2 ways to place the I leaving 10 letters to arrange in 10!/(2!) ways<BR>\n" );
document.write( "Ans: 2*10!/2! = 10!<BR>\n" );
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document.write( "2)it must start with a consonant and end with a vowel<BR>\n" );
document.write( "4 vowels ; 7 consonants<BR>\n" );
document.write( "(4/2)(7/2) = 7 ways to place the 1st and last letters<BR>\n" );
document.write( "9! ways to arrange the in between set<BR>\n" );
document.write( "Ans: 7*9! arrangements<BR>\n" );
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document.write( "3)'A' must be exactly in the middle<BR>\n" );
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document.write( "I'll leave that to you.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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