document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=427880>Question 427880</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have 20 students, how many ways can I form a 10 student committee? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #297539 by </B><A HREF=/tutors/aboutme.mpl?userid=jorel1380><B>jorel1380(3719)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jorel1380><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=jorel1380><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=297539\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you have 20 students, the number of different ways you can form a 10-member committee is given by the expression:<BR>\n" );
document.write( "20 C 10 or\r<BR>\n" );
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document.write( "20!/10!10!\r<BR>\n" );
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document.write( "which is 20 factorial divided by (10 factorial times 10 factorial)\r<BR>\n" );
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document.write( "20*19*18*17*16*15*14*13*12*11*10!<BR>\n" );
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document.write( "10*9*8*7*6*5*4*3*2*1*10!\r<BR>\n" );
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document.write( "=\r<BR>\n" );
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document.write( "19*17*13*11*4 = 184756\r<BR>\n" );
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document.write( "Thus there are 184,756 different ways of choosing 10 people out of a 20 person pool. </SPAN>\n" );
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