document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=240763>Question 240763</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Powerball jackpot can be won by picking 5 numbers out of 59 numbers then also picking 1 powerball number from a seperate 39 numbers. The order of the first 5 numbers doesn't matter.<BR>\n" );
document.write( "A. how many ways are there to pick the first five numbers?\r<BR>\n" );
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document.write( "B. How many ways are there to pick the powerball number?\r<BR>\n" );
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document.write( "C. How many ways are ther to pick all six numbers? ( the powerball number comes from a different set of numbers than the first five) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #176371 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=176371\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Use:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(n\cr k\right)\ =\ \frac{n!}{k!(n-k)!}\">\r<BR>\n" );
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document.write( "to determine the number of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large n\"> things taken <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large k\"> at a time.\r<BR>\n" );
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document.write( "For your first question, you need 59 things taken 5 at a time:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(59\cr\ 5\right)\ =\ \frac{59!}{5!(59-5)!}\">\r<BR>\n" );
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document.write( "For your second question, you need 39 things taken 1 at a time:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(39\cr\ 1\right)\">\r<BR>\n" );
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document.write( "Hint:  for any <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large n\">, \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(n\cr 1\right)\ =\ \left(\ \,n\cr n-1\right)\ =\ n\">\r<BR>\n" );
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document.write( "The answer to the third question is the sum of the first two answers.\r<BR>\n" );
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document.write( "You get to do your own arithmetic.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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