document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187350>Question 187350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many different committees of 4 each can be chosen from a class of 15 members?\r<BR>\n" );
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document.write( "Please give the solution so I can understand it.. thanks^^ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140467 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=140467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How many different committees of 4 each can be chosen from a class of 15 members? <BR>\n" );
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document.write( "The 1st choice is 1 of 15, the 2nd 1 of 14, 13, 12.<BR>\n" );
document.write( "15*14*13*12 = 32760<BR>\n" );
document.write( "But, choosing ABCD is the same as ADCB or ACBD, etc, so you have to divide by 4*3*2*1, which is 24<BR>\n" );
document.write( "32760/24 = 1365 possibilities.<BR>\n" );
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document.write( "This is 15!/((15-4)!*4!)<BR>\n" );
document.write( "! is factorial, and it's on most calculators. </SPAN>\n" );
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