document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=508054>Question 508054</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if six numbers are picked from 1 to 45 and if a number is not repeated.How many sets of six numbers could be picked </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #340848 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=340848\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm assuming order does not matter.\r<BR>\n" );
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document.write( "C(n, r) = (n!)/(r!(n-r)!)\r<BR>\n" );
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document.write( "C(45, 6) = (45!)/(6!*(45-6)!)\r<BR>\n" );
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document.write( "C(45, 6) = (45!)/(6!*39!)\r<BR>\n" );
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document.write( "C(45, 6) = (45*44*43*42*41*40*39!)/(6!*39!)\r<BR>\n" );
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document.write( "C(45, 6) = (45*44*43*42*41*40)/(6!)\r<BR>\n" );
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document.write( "C(45, 6) = (45*44*43*42*41*40)/(6*5*4*3*2*1)\r<BR>\n" );
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document.write( "C(45, 6) = (5864443200)/(720)\r<BR>\n" );
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document.write( "C(45, 6) = 8145060\r<BR>\n" );
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document.write( "So there are 8145060 different ways. </SPAN>\n" );
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