document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=403546>Question 403546</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To win the lottery you ,must pick six numbers from 49 balls numbered 1-49. The order in which you pick the balls doesn’t matter. How many different combinations can you pick? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285336 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=285336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The 1st is 1 of 49.<BR>\n" );
document.write( "Then 1 of 48, 47, 46, etc, since the numbers don't repeat (ie, you can't have 2 35's).<BR>\n" );
document.write( "--> 49*48*47*46*45*44 = a big number<BR>\n" );
document.write( "Since order doesn't matter, there are 6 chances to pick any particular, so the big number is divided by 6*5*4*3*2*1 = 720<BR>\n" );
document.write( "The # of combinations = 13983816<BR>\n" );
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document.write( "This is 49!/(43!*6!), or 49C6<BR>\n" );
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