document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=887281>Question 887281</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please let me know if my answer true or false \r<BR>\n" );
document.write( "\n" );
document.write( "Three numbers are chosen at random without replacement from the set {0, 1, 2, 3, ... , 10}. Calculate the probabilities that for the three numbers drawn\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i) None will be greater than 7,\r<BR>\n" );
document.write( "\n" );
document.write( "8*7*6 / 11*10*9 = 56 / 165\r<BR>\n" );
document.write( "\n" );
document.write( "ii) the smallest will be 7,\r<BR>\n" );
document.write( "\n" );
document.write( "4*3*2 / 11*10*9 = 4 / 165\r<BR>\n" );
document.write( "\n" );
document.write( "iii) the sum is equal to 7.\r<BR>\n" );
document.write( "\n" );
document.write( "4*3*2 / 11*10*9 = 4 / 165 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #536497 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=536497\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p(none are greater than 7) = 8C3 / 11C3 = 56 / 165.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "p(smallest will be 7) is the same as p(all are greater than or equal to 7).<BR>\n" );
document.write( "4 numbers are greater than or equal to 7.<BR>\n" );
document.write( "they are 7,8,9,10<BR>\n" );
document.write( "p(smallest will be 7) = 4C3 / 11C3 = 4/165.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "p(sum is 7)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "as far as i can see, this can only be done in the following ways.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "0,1,6<BR>\n" );
document.write( "0,2,5<BR>\n" );
document.write( "0,3,4<BR>\n" );
document.write( "1,2,4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the probability is therefore 4 / 11C3 = 4/165.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i can't find anything wrong with your answers.<BR>\n" );
document.write( "i couldn't really follow your formula for the last one, but the answer looks like it's what it should be.<BR>\n" );
document.write( "they look good to me.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );