document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=430922>Question 430922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which lottery presents the player with the best odds for       <BR>\n" );
document.write( "    winning,  (A or B)?  Defend your answer.      <BR>\n" );
document.write( "  <BR>\n" );
document.write( "	A =  C(39,5)<BR>\n" );
document.write( "B =  C(40,4) \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #299215 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=299215\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The number of winning combinations for lottery A = 39!/(5!*34!)<BR>\n" );
document.write( "The number of winning combinations for lottery B = 40!/(4!*36!)<BR>\n" );
document.write( "Taking the ratio B/A gives:<BR>\n" );
document.write( "B/A = 40!/(4!*36!)*(5!*34!)/39!<BR>\n" );
document.write( "Cancelling terms and simplifying gives:<BR>\n" );
document.write( "B/A = 10/63<BR>\n" );
document.write( "Therefore, there are 6.3 times more winning combinations for lottery A, so it presents the best odds. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );