document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=890094>Question 890094</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many different committees of 7 people can be formed from a group of 10 people </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #538748 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=538748\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How many different committees of 7 people can be formed from a group of 10 people<BR>\n" );
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document.write( "Choose 1 of 10, then 1 of 9, etc<BR>\n" );
document.write( "--> 10*9*8*7*6*5*4 = 604800<BR>\n" );
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document.write( "But, choosing A,B,C,D,E,F,G is the same as A,C,D,E,F,G,B.  There are 7*6*5*4*3*2*1 ways to choose any group of 7, = 5040 ways.<BR>\n" );
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document.write( "604800/5040 = 120 different committees.<BR>\n" );
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document.write( "= 10!/7! </SPAN>\n" );
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