document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=619337>Question 619337</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dear tutor, please help me..how many probability for word COMBINE to :<BR>\n" );
document.write( "- start with C and end with E?<BR>\n" );
document.write( "- start with C or end with E?<BR>\n" );
document.write( "- with I and N separated?<BR>\n" );
document.write( "- with alternating vowels and consonants?<BR>\n" );
document.write( "-if a 5 letter word instead of 7 letter word is made from COMBINE, how many probability are that has exactly 3 consonants?\r<BR>\n" );
document.write( "\n" );
document.write( "greatly appreciate. thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #389588 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=389588\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how many probability for word COMBINE to :<BR>\n" );
document.write( "- start with C and end with E?<BR>\n" );
document.write( "1st letter: 1 way<BR>\n" );
document.write( "Last letter: 1 way<BR>\n" );
document.write( "5 letters in-between: 5! ways<BR>\n" );
document.write( "P(stated condition) = 5!/7! = 1/(7*6) = 1/42<BR>\n" );
document.write( "---------------------------------------------------<BR>\n" );
document.write( "- start with C or end with E?<BR>\n" );
document.write( "P(start C OR end E) = P(start C) + P(end E) - P(start C AND end E)<BR>\n" );
document.write( "= (6!/7!) + 6!/7! - 1/42<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= 2/7 - 1/42<BR>\n" );
document.write( "= 12/42 -1/42 = 11/42<BR>\n" );
document.write( "==============================================<BR>\n" );
document.write( "COMBINE<BR>\n" );
document.write( "- with I and N separated?<BR>\n" );
document.write( "I and E separated: 5 ways<BR>\n" );
document.write( "permute E and N: 2 ways<BR>\n" );
document.write( "arrange other 5 letters: 5! ways<BR>\n" );
document.write( "P(stated condition) = (5*2*5!)/7! = 10/42 = 5/21<BR>\n" );
document.write( "===============================================<BR>\n" );
document.write( "I'll leave the rest to you.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "- with alternating vowels and consonants?<BR>\n" );
document.write( "-if a 5 letter word instead of 7 letter word is made from COMBINE, how many probability are that has exactly 3 consonants? <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );