document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=249375>Question 249375</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one professor grades homework by randomly choosing 5 out of 15 homework problems to grade. How many different groups of 5 problems can be choosen from the 15 problems? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181620 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=181620\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> one professor grades homework by randomly choosing 5 out of 15 homework problems to grade. How many different groups of 5 problems can be choosen from the 15 problems?\r<BR>\n" );
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document.write( "The formula for combinations of k things taken from n things is:\r<BR>\n" );
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document.write( "C(n,k) = n!/((k!*(n-k)!)\r<BR>\n" );
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document.write( "In this case n = 15 and k = 5 so we have:\r<BR>\n" );
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document.write( "C(15,5) = 15!/(5!*10!)\r<BR>\n" );
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document.write( "You will need to multiply out the factorials and finish the calculation for the final answer.  </SPAN>\n" );
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