document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=583762>Question 583762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If there are 22 students in a frat house. In how many ways can a committee of 9 be selected? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #372578 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=372578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> C(n,r) = (n!)/(r!(n-r)!)\r<BR>\n" );
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document.write( "C(22,9) = (22!)/(9!*(22-9)!)\r<BR>\n" );
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document.write( "C(22,9) = (22!)/(9!*13!)\r<BR>\n" );
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document.write( "C(22,9) = (22*21*20*19*18*17*16*15*14*13!)/(9!*13!)\r<BR>\n" );
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document.write( "C(22,9) = (22*21*20*19*18*17*16*15*14)/(9!)\r<BR>\n" );
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document.write( "C(22,9) = (22*21*20*19*18*17*16*15*14)/(9*8*7*6*5*4*3*2*1)\r<BR>\n" );
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document.write( "C(22,9) = (180503769600)/(362880)\r<BR>\n" );
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document.write( "C(22,9) = 497420\r<BR>\n" );
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document.write( "So there are 497420 different ways. </SPAN>\n" );
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