document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190906>Question 1190906</A>: <I><SPAN STYLE=\"word-break: break-all;\"> MAT 145: Topics In Contemporary Math<BR>\n" );
document.write( " Permutations and Combinations\r<BR>\n" );
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document.write( "4. SUNY Schenectady has 55 full-time faculty members. How many 5-member hiring <BR>\n" );
document.write( "committees can be formed to interview candidates to replace a retiring professor?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #822646 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=822646\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this is 55C5=3,478,761 different committees<BR>\n" );
document.write( "there are ultimately going to be 5 on the committee and 50 not.<BR>\n" );
document.write( "There are 55*54*53*52*51*50! ways to choose the first<BR>\n" );
document.write( "There are 5*4*3*2*1 ways to choose the 5 people on the committee<BR>\n" );
document.write( "There are 50*49*48*47*46*....ways to choose the 50 people NOT on the committee<BR>\n" );
document.write( "it is 55*54*53*52*51*50!/50!*120, the 120 being 5!, or 5*4*3*2*1 </SPAN>\n" );
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