document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=619065>Question 619065</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A teacher selects 3 students from the 22 students in a physics class to represent Your school at the science fair. In how many different ways can the teacher choose? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #389306 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=389306\">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(22,3) = (22!)/(3!*(22-3)!)\r<BR>\n" );
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document.write( "C(22,3) = (22!)/(3!*19!)\r<BR>\n" );
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document.write( "C(22,3) = (22*21*20*19!)/(3!*19!)\r<BR>\n" );
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document.write( "C(22,3) = (22*21*20)/(3!)\r<BR>\n" );
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document.write( "C(22,3) = (22*21*20)/(3*2*1)\r<BR>\n" );
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document.write( "C(22,3) = (9240)/(6)\r<BR>\n" );
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document.write( "C(22,3) = 1540\r<BR>\n" );
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document.write( "So there are 1540 different ways. </SPAN>\n" );
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