document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1142236>Question 1142236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> B) A lottery has 52 numbers. In how many different ways can 6 numbers be selected ? <BR>\n" );
document.write( "Ans 52C6 = 20358520 <BR>\n" );
document.write( "C) If you bought one ticket in the lottery drawing in (b) above  what would be the probability that you would win the big lottery?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #762941 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=762941\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> B) A lottery has 52 numbers. In how many different ways can 6 numbers be selected ? <BR>\n" );
document.write( "Ans 52C6 = 20358520<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "The 1st choice is 1 of 52<BR>\n" );
document.write( "Then 1 of 51, etc<BR>\n" );
document.write( "---> 52*51*50*49*48*47<BR>\n" );
document.write( "But, any of the numbers can be picked the 1st, 2nd, ... 6th time.<BR>\n" );
document.write( "---> 1*2*3*4*5*6 ways to choose any combination = 720 ways.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "52*51*50*49*48*47/720 = 20358520 ways.<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "C) If you bought one ticket in the lottery drawing in (b) above  what would be the probability that you would win the big lottery?<BR>\n" );
document.write( "----<BR>\n" );
document.write( "It's 1 out of 20358520 ways.<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Or, as my sister-in-law says:  it's 50-50.  You either win, or you don't.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );