document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=895304>Question 895304</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many different groups of 3 can you make you make with 22 students?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #542724 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=542724\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> n C r = (n!)/(r!(n-r)!)\r<BR>\n" );
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document.write( "22 C 3 = (22!)/(3!*(22-3)!)\r<BR>\n" );
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document.write( "22 C 3 = (22!)/(3!*19!)\r<BR>\n" );
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document.write( "22 C 3 = (22*21*20*19!)/(3!*19!)\r<BR>\n" );
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document.write( "22 C 3 = (22*21*20)/(3!)\r<BR>\n" );
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document.write( "22 C 3 = (22*21*20)/(3*2*1)\r<BR>\n" );
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document.write( "22 C 3 = (9240)/(6)\r<BR>\n" );
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document.write( "22 C 3 = 1540\r<BR>\n" );
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document.write( "So there are <font color=\"red\">1,540</font> different groups (assuming order doesn't matter) </SPAN>\n" );
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